You're not alone. I've been in therapy for two years and I've never even come close to crying in front of T (though I'm not generally a crier). I also relay my problems in a matter-of-fact way, and when my T asks how I feel, I'm like ???? ?? ??????? ??? I don't f--king know!
She gave me an emotions chart (which made me feel like a child so I threw it away lol...like a child would) but that's not the problem. I know what emotion words are. Angry, frustrated, upset, insulted, content, sad, blah blah blah. My problem is I literally can't identify my own emotions. I don't even know if I have emotions. I never react correctly to emotional situations. After going through very stressful situations, such as I tried to sit down and ask myself how I felt. And I really didn't know. And I couldn't figure it out.
Anyway, to answer your question, I don't think your T will see your problems as ingenuine. In fact, she seems to know that your problems are indeed problems, and she is wondering why you aren't showing emotion -- like that might be an additional problem. If you can share with her what you shared here (that these problems are affecting you, you just don't know how to express it), maybe you can explore that with her.