Facial hair is usually an important element of the character - so I'd say leave it on unless you have an issue where you really don't want to.
Cosplay is something where you have to make choices and some people do for comfort or other reasons and that's okay.
But if you're trying to be accurate and not the "girl version" of said character there's really no reason not to do the facial hair.
Disclaimer : This post written by a Grumpy Old Man
Actually in the pipes:
- Remaking Ser Loras doublet.
- Luke Skywalker, A New Hope
- Wind Waker starter costume in swim material
Eventually: Paul from Dune, Faramir, Harry Sullivan