No, but the Queen is head of state to most countries in the Commonwealth, including Canada, Australia, New Zealand, etc. (The Commonwealth is mostly made up of former British empire colonies. The parts that didn’t revolt and write some new-fangled Constitution with “affirming” and whatnot. 
)
Well, that definitely won’t happen. Constitutional law & precedent is quite clear … I grew up in one of those wacky sects that actually took that bit of the Sermon on the Mount seriously, and the recommendation we were given in Sunday School was to make sure the clerk knew in advance that you wished to affirm rather than swear, and there shouldn’t be any problems.
I don’t mean for affirming rather than swearing. I mean for spitting on his Bible.