No, it is only gay if there sexual intent in the touching.

The crime of burglary is "trespass with the intent of committing a felony". The "felony" or "attempted felony" is not specified in any way.

If the suspect trespasses with the intent of forcing himself on the homeowner (or resident), the suspect has burglarized a residence with sexual motivation.

In other words, he burglarized in order to commit a felony, sexual offense.

Any non-consensual touching done with the intent to gratify lust or sexual desires.

This is a statement and not a question, but I will put an answer. This is not love or sexual, but an intent to harm and hurt. Don't date him.

Grabbing anyone against their will and without ther permission is Assault - usually a misdemeanor. If it can be proven that it was done with sexual intent it can be charged as Sexual Assault and has an enhanced penalty.