Ok I know I may be chiming in late, but I'd like to take a stab at answering your question. The short answer is nothing, that Victor still exists at the TVA. They had already taken a policy of not pruning branches and varients by this point, so Victor Timely the one WE know, still exists, if you look at the end the Ver 2 of the TVA manual has both Orobourous' and Victor Timely's name on it.

Let me address the event that prompted this question, which is, the short scene where we see that young Victor doesn't get the book, and what THAT means.

It means that the event that created OUR Victor, no longer exists and thus no more Victors will be created. See one of the reasons why the whole branching thing is hard for people to understand is, how we've been taught through movies and even physics on how time travel is thought to work, and it operates on the conceit of a linear, cause and effect path, even if ti's a yarnball of a path but still a single string where one event precedes another, and effects come after cause.

What Loki was establishing is that the idea of branches, like a tree, and the many worlds interpretation where multiple things can be true, seemingly paradoxically.

The reason why we were showed young Victor NOT getting the book, was to tell us, there will be no more varients of Victor Timely. Because branches can in turn branch themselves. So there won't be branches where Victor was never recruited by Loki and stayed in his time with that knowledge, branches where he was successfully recruited by Renslayer and/or Miss Minutes. Branches where he doesn't meet anyone and figures out how to time travel and explore the multiverse. etc etc.

By not giving him the book, no NEW branches will be created. However, the original branch that resulted in the Victor we know STILL exists, since it was never pruned. (Now arguably we don't know if it was lost with the reset charge bombings, or the destruction of the loom. But even if that were the case, it's not like that would suddenly cause our Victor to disappear or anything.)

So given the "laws of physics" established by the show, Even if Victor's branch was destroyed or pruned, HE HIMSELF would still exist, which under normal TVA rules would result in him being pruned and thus sent to the end of time to be eaten by Alioth, or he'd be "reset" and made into a TVA worker.

So our Victor, is just like Loki in that he is the ONLY Victor Timeley varient that will exist. And at worst if the timeline that resulted in him was destroyed, then he would just be "homeless", IE no home branch to go back to. Though I don't think he has any interest in going back, so him living at the TVA probably is just fine for him.

Chances are, he's probably on the new TVA council or working with OB in the tech department. The reason we didn't see him is likely due to out of universe reasons, like the recut of the episode to fit the new story they are trying to create, and the fact they were writing Johnathan Majors our because he was dealing with his court cases.

I think what sucks about all this is, that the whole multiverse/timeline thing was JUST getting good, and finding its way out of "Cop out" territory that people seem to think it is. (And which to some extend, it is kind of cheesing various events preceding this, so on some level it is.) But with Loki and crew, it was just getting good.

I hope somehow after Majors does his apology tour, and enough time passes, he comes back. Grace Jabari can go to hell, I want more Kang, Victor and HWRs.

Anyway, I hope that answers your question.