Reply and ask if she functions on a sliding scale or if she knows any colleagues in the area who might be willing to work with you as such.
Also, yes, professional response. You wrote her a letter asking for hormones. That's going to raise the ire of any therapist, even ones in your court. Also, psychological evaluation is used both to judge your current state of transition, and to see if there are any comorbid problems (such as bipolar, childhood sexual assault, fetishism, etc.) You probably won't even notice them doing it, because, seriously, ink blot tests are old.
When I first met my therapist, she adored me and was confused why I wasn't fulltime already. She couldn't stop gushing about my body language, word choice, appearance, progress with laser hair removal and AA etc. I passed quite often without the confidence to try.
My friend, who saw her after I suggested it, did not hit it off well at all. She had to go for more visits, and her HRT recommendation letter was very, very cold. She sent me one through the mail at a discount.
My friend made it clear from the very beginning that she wanted to transition and did not see any reason for therapy and was only seeing her for the letter.
Don't spite the gatekeepers. Plus, honestly, trained therapists can really be quite helpful. I was on the fence about transition, but talking to her actually gave me the courage to move forward.