This pertains to an American university graduate program.
A TA recently surprised me with a proposition to marry her (we've neither dated nor hooked up), so that she could obtain a green card to stay in the United States -- she wants to leave the STEM fields and go into the creative / artsy stuff (eg, dreams of having a creative career in Los Angeles), which means she likely won't earn a work visa to stay in the US.
She essentially offered a blank check from her family, so long as the amount is less than the investment green card amount of 500k dollars (something that I did not know even existed).
My question is: putting aside legal, personal and ethical questions, what are the academic implications of this situation? At what point could I get into trouble with the university; from having such discussions with her or later, if I actually did something? Could I be dismissed from the university or have my degree revoked later on? What about implications regarding any funding that I might have from the university or from the government (eg, grants, loans)?
Edit: Thanks to those offering marriage strategies and interpretations of the law, but I had hoped to stay on-topic and focus on the academic implications. Currently, I am reduced to voting for an on-topic answer that I have some qualms about, since, as mentioned in Dan Romik's comments, the answerer focuses on reporting harassment, when I have not been harassed at all. Perhaps the community can vote to reopen the question to allow for more, on-topic answers.