Also, I don't like the idea that the doctor would be considering visiting a patient. As an attorney, I'd be talking to the doctor making it clear that until we were sure what she was going to do, he had to stay far away from that kind of situation. Can't suspend disbelief on that.
I'm not having quite the same reaction you are, but, working in a law firm, it's sending up red flags for me. Right now, as far as we know, he's not suspected of any wrongdoing. My fear is Ty is going to say something to the mother and her next call will be to a lawyer. While he did make an error, I don't see him being fired over it (it seemed to me, while he didn't ask, the mother also didn't share her son's full medical history), but if he opens the hospital up to a lawsuit, THAT they may fire him for.