I can find no indication of “consummation” or other terms that’ that seems to necessarily imply sexual activity other than a reference to birth control.

Anyway, immigration proceedings are stressful and heartless. I definitely recommend making sure you know your rights and the process. I know money is tight, but if you can find an immigration lawyer that has experience with the immigration process of LGBTQ+ and other “non-traditional” couples that would definitely be a very very big boost to your chances.

I don’t know if “we don’t have sex” is going to count as a strike against you in a U.S. immigration hearing, but the lawyer definitely should.

What definitely counts as a strike against you is lying, and they are really good at finding out, so I don’t recommend you pretend your physical relationship is different than it is.