Hi Chocolategenii:
... kairos time is an abstract concept difficult to understand. Kairos time is called Gods time because it transcends beginning and end. Mortal beings live in Chronos time...however, we are given the ability to experience Kairos time on limited basis in relation to singular events or moments. God however lives in Kairos time which transcends beginning and end. Kairos time is a universal spiritual concept.
"Transcends" is a term that I glossed over when it was used so much in the 1960's-70s. (I didn't make a very good hippy, or, 'whatever'.

) More recently I take it more seriously but I want to make sure I understand your use of it.
By 'transcend' do you mean that 'God's' time extends 'before' the beginning of physical Chronos time as well as 'after' it, but yet in a very different way that Chronos time? Or do you mean it is a time of a differing 'transcending' quality yet embedded within Chronos time? Or do you mean a combination of both, or, something altogether different?
From what I read on the internet I took it to be more like a eureka moment like when I finally understood what the 'I AM Christ' crowd of Matthew 24 meant, or when I discovered the meaning of the name (character), yhwh, or how the Hebrew term 'elohim' ('mighty ones' or 'gods') related to the name, yhwh.
Those were huge moments of understanding to me that are embedded in Chronos time, at least, how I understand it. But I do not see that as 'yhwh's time' in terms of how he exists in a timeless state. Quite frankly, I have yet to come to an understanding of how one might exist in a timeless state. That is what prompted me to ask you about Kairos time.
It is beyond my imagination to visualize the timelessness of yhwh because I can only see living existence tied into Chronos time because, with the exception of a few theories and very complex (to me) experiments that confirm at least portions of those theories, that Chronos time is not quite as linear as we see first hand without science.
I have also learned that the ancient Hebrews did not perceive time at all like us western thinkers. For instance, they thought of it in a more circular fashion, perhaps something like what I've read about the Mayans, or, in terms of things of nature of the life, death, life, etc. cycle, and things like the future was 'behind' them (because it couldn't be seen) and the past was before them (because they knew it all through their experiencing of it).
On the other hand all of time is before (eeek, or rather, 'in front of', trying to think 'timelessly') yhwh. He doesn't 'time travel'. It's all right there. It isn't that he is the so-called 'ever present' because that is in terms of time, although that is only how we can perceive it. With the existence of yhwh, there is no past, present or future. There just 'is'; and even that cannot be expressed accurately in English because there is still the element of 'the present', Chronos time, in that expression. English is quite frustrating in that way.
English has no way of properly expressing the existence of yhwh in terms of time or timelessness. It's verb tense, again, only expresses past, present or future (with a few qualifications attached). They are all related directly to time. But the verb tense of Hebrew is perhaps closer in expressing the existence of yhwh because time is not directly a determining factor of verb tense.
The verb tense of Hebrew is 'complete' or 'incomplete'. Time is not directly concerned with the Hebraic verb tense. That is at least one factor that causes so many problems in translating from Hebrew to English. There are several other issues but that is for other threads perhaps for another 'Chronos' time.

But then again, for instance, in terms of translational issues, a completed action could be regarded as 'past tense' in a way (in the English, perfect or imperfect depending upon the context but that can be very subjective depending upon the translator's dogma). In any event, I don't think that really addresses the concept of how the ancient Hebrews thought about it from what I read recently on this subject of the ancient Hebrew language.
No matter what we might think, or think we might know, there is the problem that we cannot know for sure because what was originally revealed to the ancient Hebrews and what was expressed in the ancient Hebrew language has either been lost, distorted or only partially understood properly at best. So in this lifetime it seems very unlikely we can know for sure how yhwh exists in terms of time/timelessness, Chronos or Kairos, until it is once again revealed to mankind in how it was originally revealed to the ancients of the scriptures, or perhaps at a greater level of understanding according to the promise of the inheritance given to Abraham.
By God Supreme, I mean God Supreme...you refer to Him as yhwh. I hope that answers your question.
Weeeeeeeell; not really perhaps. That is a Yogi Berraism

and is more of a label assignment. Please do not take that as any form of criticism. It is pretty much how I once thought, after all.
But over the years, I came to understand that the English term 'God' usurps the existence of yhwh, or at least tries to, for the purpose of religious organizations to 'deify' their 'God' so they could step into 'God's' place on 'His' behalf to satisfy their own agendas with a cloak of looking 'religious', rather than to understand and properly teach, with the might that is available from yhwh, the teachings (improperly dubbed 'The Law') of yhwh about living existence, both physical and spiritual (eternal).
In my thinking now, there is no comparison between 'God/God Supreme' and yhwh in terms of my current understanding of the English term 'God'. Again, I'm not saying that to be flippant or irreverent to anyone or their beliefs. To the contrary, that's what all the studying I've done over the decades has caused me to discover within the Hebrew scriptures. Unfortunately what I've found is only the tip of the iceberg and there is so much more that I can not hope to discover in this age because of how the ancient writings have been mishandled.
yhwh is not a deity or 'God'. He is the one and only
almighty one who exists because of righteousness and who is responsible for the living existence of all other
mighty ones which includes all of humanity according to a NT comment by the messiah based upon a teaching from the Hebrew scriptures.
So perhaps I could encourage you to describe in a little more detail how you perceive 'God Supreme' because I sense you see much more to it than what the English term 'God' now suggests to me.

Sorry to be long getting back to you and for the length of this post. That's what happens when ancient writings have been trampled on for thousands of years and it takes great effort to sort through the resulting heap to figure out what is going on with them, if that is even possible at all.
The concept of Kairos is difficult for people to explain if they believe in an Anthropomorphic god
... and therein lies another great stumbling block for mankind to have to deal with to overcome unbelief.
Hoping for the wholeness of yhwh for you and yours as for all mankind (aka, shalom).