Why not "The woman eats in front of the man"?
Is also possible.
That wasn't accepted for me.
Report it, please.
What if we want to say "the woman is eating before the man"?
You would use the same sentence and would need to add some specification of time to mark the use of vor as temporal, or, more typically, you'd use a subordinate: Die Frau ißt, bevor der Mann ißt.
I disagree about the requirement to add some specification of time.
Die Frau isst vor dem Mann on its own can mean "The woman eats before the man (does)".