I have no opinion on whether Rumi was gay, lustful, "entangled" in a romantic relationship. I said it was likely that he was romantically involved with Shams because he speaks of Shams and his relationship as if it is romantic, and they lived together and slept in the same bed. I am not saying this is proof, but I would consider it evidence that implies that it could be the case. Not that I care at all. That is their business.
I do know that Rumi was God-intoxicated. This is evident. And that is all I care about, and his poetry, and his contribution to the Sufi tradition. However, I don't think that a student-teacher relationship excludes a romantic relationship as well, as long as one doesn't become "entangled" in it. And the teacher is not exploiting his status as teacher. Shams could not become entangled. But really who cares?
Not me. I didn't mean to offend.