So sorry... 4weeks is an extremly long time to be without T. Happened to me once and it was completly awful.
I know that it's not the same as IRL support, but we're here to support you if you need us
T explained to me that it's normal to feel that way during his vacations... Because it can mimic the feeling of abandonment. That the only way to get "over it" is to talk with T about it. So yeah. I think it is part of the process. Most importantly though, don't feel ashamed for what you're feeling. Talk with your T about this when he comes back.
Do you have the possibility to do a phone session or something like that in between? Just so you could talk with him...