Speaking for myself I would at the very least let her know that I appreciated the pro-active step she took in getting a Dr. Appt. Validate the fact that she is doing something pro-active. I seem to be using the word "validate" a lot lately, but it sooo seems to fit. Acknowledging is one thing, but validating is quite another...and I think it's more appropriate when it comes to feelings etc.
Now that she's read your letter though I wouldn't hesitate to pose some questions to her and ask her if she'd be willing to talk more in depth of a a few things. But don't push her constantly on it.