Rebuttal: Deuteronomy 23:17 prohibits BOTH male and female cult prostitutes — if this prohibition still allows men to be priests, it doesn't explain excluding women.

Deuteronomy 23:17 says 'None of the daughters of Israel shall be a cult prostitute, and none of the sons of Israel shall be a cult prostitute.' Male cult prostitutes existed too — both genders are prohibited. If the prohibition against male cult prostitution still allows men to serve as priests, then the same prohibition cannot be the reason women can't. God isn't concerned with them being priests; he's concerned with prostitution specifically. This is not a gender-specific issue.