I think that as the relationship is such a huge component of the work in therapy, anything that affects that relationship matters (age, gender, personality, etc.). I personally wouldn't rule someone out based on age, but that's just because I wouldn't have much transference around age issues. On the other hand, I will only work with male T's, as female authority figures - no matter the age - always remind me of my mother! Maternal transference just gets in the way of the work, so I avoid it.
I, too, feel concerned that you are feeling coerced. I really hope that you're able to find a therapeutic relationship within which you feel safe, secure, and understood. Trust your instincts and follow your needs!

Saka