<human>: Can you summarize the given text in a few sentences?

Basically there is this student who I will admit is quite attractive and sweet whose been hitting on me. At my University dating students is allowed but its super risky and I'm not trying to get into all of that.

But maybe I'm overreacting? Maybe I'm mistaking her acts as proper flirting. I was showing her how to do some documents and she then put her hand on my hand and caressed it lightly. I didn't respond, I was kind of shocked by the boldness of it, and just changed subjects.

She's also done some things such as asking to sit by me sometimes when I'm having my lunch and just general things like putting her hand on my shoulders and occasionally inviting me to student functions.

Maybe I'm overreacting? She hasn't done anything too overt at this point but if she does what's the best way to put her down gently without embarrassing her or making things awkward?
<bot>: I'm a staff member at a college and this young student has been flirting with me. I'm not sure how to tell her to back off without risking sounding arrogant or embarrassing her.