Intrigued and wondering what Mr. Hegseth had really said, I started the video but gave up a short way in. I was put off by feeling the nervous, rather incoherent speaker was trying to tell me what he or his sponsors want me to think Hegseth had said, rather a direct video of the politician himself.
Nevertheless, for America's sake I would hope even if Peter Hegseth does hold a rather Talibanesque mysoginist streak - while pretending that to be "Christian" - no-one takes him seriously.
Anyway, his own nation's Constitution guarantees the freedom to practice any religious faith and denomination, or none.
I think it also separate church and state. That might partly reflect the original colonists having fled countries where the State was still under the Church thumb. Although many of those settlers themselves held dictatorial religious views including hard-line male chauvinism, they had fled equally rigid but opposing dogmas.
So if this minister of state really imagines women should have no right to vote, he would seem well outside the USA's own, enshrined ethos.
I'd not worry about him!