Can a female infected with herpes hsv2 transmit to a non infected male through her giving him oral sex?

Best way to answer your question is submitting this website Genital Herpes: Infection and Transmission
Which are the basics in herpes transmission.

If you don't get through the whole article, here is your basic answer

HSV-1 is usually passed from person to person by kissing. HSV-1 can also spread from the mouth to the genitals during oral sex (fellatio, cunnilingus, analingus). If this happens, it becomes a case of genital herpes.

If you are wondering what the difference is between l and 2, here is the answer for that:

There are 2 types of sexually transmitted herpes: herpes type 1 and herpes type 2. Both types cause painful cold sores. It used to be that we (doctors and researchers) thought of herpes 1 as primarily infecting the mouth (“above the belt”) and herpes 2 as primarily infecting the genitals (“below the belt”), but we know now that is just not the case. Fifty percent of new cases of genital herpes are actually herpes type 1.