We ought to be careful and not put this as some sort of failure by OP and imply they are broken and need therapy! Institutions from med school to residency to attend jobs have all tried very hard to scare me with tales of litigation as a way to work me like a dog. They constantly implied I'm a bad doctor if I don't see every single patient immediately whenever they darken the clinic threshold. In the VA, and particularly mine, they also imply you are not patriotic if you don't drop everything to help "one of our nation's heroes" for whatever non-emergent thing. If OP has had my experience, or anything close, they have always had great evaluations and a desire to help and have been taken advantage of. Medical training and early practice can be traumatizing like this. If OP wants to do therapy, that is great, but there are a number of ways to get advice on handling unrealistic expectations, and asking long practicing psychiatrists here is a great start.
I myself am facing the same pressures again right now after a period of calmness, as we have had changes in leadership. They are asking us to utilize our clinic as a psychiatric urgent care seeing whomever walks in, whilst I have scheduled patients all day already. My attitude has been to be calm, and to observe in a detached way how long it will take them to reinvent the wheel and staff the clinic properly again, as they are not interested in my suggestions. As the serenity prayer goes:
"God, grant me the serenity
to accept the things I cannot change,
the courage to change the things I can,
and the wisdom to know the difference."