Can I Crossdress My Way Out Of This Arranged Marriage?

Our poor Half Elven protagonist has had an arranged marriage sprung on him by his mother. Not only did she effectively sell him for the dowry, but she's handed him over to marry the daughter of an Orc. At least our protagonist has managed to think up a last minute plan to get out of it.

The Orc's daughters won't want him if he can convince them he's a girl, right?