If it's "your" church, "my" church or "their" church, the point has been missed already.
As far as women being "in submission", it has nothing to do with the feminist connotation of what that means. To feminists, the phrase inevitably means "under domination of". People (even feminists) are "in submission" to lots of things without getting their hackles raised.
The only people who refuse to submit to anything are in prison -- where they submit, just against their will.
The only way I'll submit is if you beat me to a bloody pulp and break my back.
Submit is a very nasty word in my world.