I guess if he's doing self care then maybe he has his email notifications off to not get distracted. I'm sure he'd get back to you if you called

My T goes on retreats, and he says he will be unavailable at those times. They can't be ok to deal with us unless they have some time to themselves.

But yes, I feel very clingy, I just haven't been reaching out to my T because I don't feel like I deserve it.