It’s so hard but you are doing the right thing by going, don’t cancel the appointment. It is awkward, I totally get that but remember they will probably ask what brings you in if you’ve had a break, try and think of answering honestly as helping the therapist gather the right information and let it come out that way.
I won’t give advice on whether hospitalisation is likely as I wouldn’t have a clue, so will let others on here advise about that
Is it a therapist you’ve worked with before ?