I have not had to experience this problem with my current T. In the past, I had one T I saw a few times. I did not like some of the things she did and ended up leaving her and therapy completely (for 20 yrs). That might not have been the best way to handle it.

If I could, I would not stay with a T that became defensive about my emotions. I have a hard enough time believing I can share them or anyone really cares about them in the first place, so if I had a T that became defensive, it would just add to the shame I already have about having non-happy emotions. As already pointed out, T's need to be flexible to what a client needs and the history behind those needs. Perhaps this T is trying something with you and it is not working well (in the now) or perhaps this T is not a very good T. I think the only way you'd be able to find out is to try to have one of those step back conversations about therapy in general, without the discussion being "therapyized". In short, I think you need to find out if this behavior is part of her intervention and treatment plan for you or is this her personality and temperament coming through. From there you can make a decision on how you want to proceed.

Oh and also, if she is getting defensive, then your emotions are having an effect on her, just maybe not the one you want or in the way you want them to.