I have a crush on my dance instructor, but I don't know if she feels about me. Should I go for it?

About a month ago I joined a dance studio that teaches ballroom dancing. To this day I have never felt this happier in my life. My dance instructor compliments me for my ability to quickly grasp the basic patterns of all dances, she even wants me to get into competitions (Dancing with the Stars style). When I dance with her even there is no instruction, she just makes me feel very good about myself. She even tells me that I remind her of a particular student that she use to work with back at her hometown (if that's actually a good thing).

Now I don't know how she feels about me or anything, she seems to enjoy herself every time she dances with me (I certainly enjoy her company). She wrote me a handwritten letter and it expressed that she is willing to dedicate herself to make me a "star student". And out of all the people I dance with even other instructors, she seems to stare into my eyes the most.

The dropside to it is that I know she is an instructor. And when she dances with me she is part of the studio (and not some random person) and I know she has other students and her coworkers she dances with (ok I do the same thing too). I don't know what I am afraid of exactly, I don't just ask any women to go out with me, I only ask the one's that I really like. And I really like her, but she is also my instructor. I highly respect her for that. My emotions are getting out of whack. I don't want to mess it up again. I am aware that's life.

Should I just go for it?
Updates
+1 y
Thanks everyone on their comments and opinions. I have done some of your suggestions. And instead of asking her a direct question (do you have bf?) In a way of (does your boyfriend dance) she said no. Her answer didn't down confident
I have a crush on my dance instructor, but I don't know if she feels about me. Should I go for it?
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