Assuming that this T is a good T and doesn't suck.

I think it would depend on how they interpreted your need to leave and not come back.

If they thought that you just were not ready for therapy or to continue therapy, that you needed a break and some space, then I would think they would just give you that space and let you come back (or not) depending on your needs once you were calmed down.

If they thought you were having some sort of episodic meltdown and could be a danger to yourself, then they might call or email to check.

I think going to therapy just because you feel obligated or pressured can easily render the therapy useless. So it would make sense for a T to wait for the client to contact them, as it would be a sign that the client feels ready to do therapy work.

Also remember that therapists are paid professionals, so pressuring you to come back could come across as, "Hey I need more money, so get back in here, even if you don't feel like it." Waiting for you to make the first move also helps ensure that you won't get the wrong message.