Yearning, this is do hard. I get a feeling that maybe you are a little attracted to her? If I am way off the mark tell me but it seems more than an appreciation.
I think this tutor can sense this rapport you both have between you. I know how hard it is for gay women to meet other gay women let alone share common interests and be like minded so when you do find that special bond it becomes tense.
If you know she feels the same bond there is a problem because she is your tutor and you the student.
You say you interpret kindness as meaning much more and maybe she does care but it could be inappropriate for her to tell you or to act on it.

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