"Datot" = a sum of money that the state budgets for the yeshiva so that it can support me as a yeshiva student who is learning.
Question:
A. Since I left the yeshiva and the yeshiva no longer pays anything for me, am I allowed to take the money, since I am continuing to learn?

How can you take money that comes from the state to the yeshiva? Is there an envelope in the office with your name on it?
If you are no longer studying in the yeshiva, then the yeshiva itself should report that and not receive money on your account.

Right. But if I transfer the Ministry of Religious Affairs money to the kollel, then I receive a kollel stipend from the Ministry of Religious Affairs, which is in fact what I do today—study in a kollel [like a regular kollel fellow who receives this stipend].

I'm sorry, but I don't understand. Do you receive the stipend directly from the Ministry of Religious Affairs? Doesn't the yeshiva receive it and pass it on to you?

At first I was in yeshiva and afterward I moved to a kollel [and I am still unmarried], and there is an option to transfer the Ministry of Religious Affairs money that the state gives the yeshiva if I register in the kollel, and then from the perspective of the Ministry of Religious Affairs I am a kollel fellow receiving the stipend. So now the question is whether I am allowed to take the money, since I am not exactly a kollel fellow, because I am unmarried, but on the other hand, what difference does that make?

Instead of figuring out the situation in exact detail, I'll give you the principle first: (to the best of my knowledge) if it's legal, it's permitted.
Morally, ask yourself whether the legislator had you and your actions in mind when allocating this stipend.

I've given up. In any case, David S. wrote well.