If she agreed to come to your house I think that tells you she is committed to her part of the therapy, even if it is outside her training. She wept a little which was fine by you and probably for her also the best response at the time. I wouldn't worry about if it is too much since she made the choice to stand by you. This is of course hard on her but she will also probably learn and grow from the situation if she allows herself. Of course she is sad sometimes about you. But that is not going to kill her. You didn't bring cancer into the mix, it just happened. And you cannot take it away by removing yourself from her or delete it from her mind.

If she is a good therapist don't worry. And if you worry, maybe ask her if she is fine continuing with you?