Maybe a phone call from your GP to your T might help move things along. Things like this are stressful and not okay. They shouldn't be trying to justify why they didn't do their job. Yes they may be stressed etc.... but off loading on you is very unprofessional.

If this does become a pattern of behaviour that continues then maybe ask your GP for another referral.

Maybe let your T know that you hurt yourself because you were so stressed. They are being paid to do a job. Take care of yourself.