1 Cor 11:4

11:4 his head covered. What little evidence that exists seems to indicate that, with few exceptions, men in the first century left their heads uncovered while worshiping. The Jewish custom of men covering their heads at prayer probably does not go back to the New Testament period.

dishonors his head. Probably a reference to Christ as the head (v. 7). Neither the Bible nor other documents explain why such a practice would dishonor Christ (cf. v. 10 note).