Required for bnei noach to wear a head covering

Shalom aleichem rabbi. I wanted to ask you.... if we should not associate ourselves with idolatrous practises, does that mean we should wear a head covering while praying? Since not wearing of a head covering is associated with Christians and the church. Although wearing of a head covering is not specifically required, could it fall under some categories that would make it required?

Shalom, Thank you for your question. There is not prohibition for a non-Jew to pray without a head covering, and no obligation to specially pray with a head covering. Blessings.