1. I buy all male products and I am not male (I am TG) There are female ID'd people who buy men's products. There are feminine people who buy men's products. I wouldn't look at this as defined who you are. I have been thinking about gender for 15+ years. Unfortunately, for some of us it is not clear and not binary. Although I love who I am (TG not TS), life would certainly be a lot easier if I just went on hormones. Taking T would fit for me in some ways, in some ways it would not. Top surgery is a different discussion, however.
2. Anecdotal evidence abounds I what Linus said. Emotions are described as being more muted (I am a gender therapist so I see guys pre-T and after), but it is not like compassion and other emotions disappear.
3. I don't really get this not being able to relate to feminine people, and wondering how you would do with a feminine client. You call yourself a psychologist. A psychologist has their doctorate in Psychology. Do you have your Ph.D. or Psy.D. ? I am just confused because I don't know anyone who has even completed even an Associates degree without having worked with clients prior to graduation.
Good luck on your journey. Sometimes it takes a while. Also, don't forget to step away from it and just live life. I promise it will circle back around!