I get this, I have trust issues too and it took me ages to be ok with my T and the idea of another T even temporally is not good to me. His boss offered to see me while he is away and while it's kind of her, I just can't do it.

If you think it could help you, go for it... there is also the option of a crisis line, yes its a stranger but there you can do a phone call, web chat or text and it's free. You can leave after a few moments if you don't feel it's helpful