Tabsicle I think you have made a very fair point, but maybe extrapolated further from my point.
But to explain my response.
IMHO it is not bigoted to decide that your child cannot go to the home of someone when plans have been changed.
(I've now discovered this is not exactly the case but assuming that there was a situation where a person made plans and then who would be caring for the child changed and they did choose not to attend...)
That is/was the context here. We are not talking about never being around men or never going to a home where a man is. If a parent were to say that a child could never go to the home where there was a dad, even if they knew the dad was very nice etc, I think I would assume that the person had some bigoted views about men but I would still say it is their choice. It is not like denying someone a place in a university, hospital or job.
There are women who do not want to be around men ever, for whatever reason, and I think that should be respected. Whether we consider it bigoted or not is perhaps by the by. I was once on a plane with a Buddhist monk (from Thailand) who could not sit next to a female passenger. I found that a bit 'odd' but respected it. I would not consider that view bigoted, would you?
Regarding someone who refused to let your DC go to a Jewish household, yes, I would feel that was bigoted. I would feel this was very sad. However, I am aware of religious groups who can only eat with members of their own religion. And again, I find that very sad, but they have some reasons for this and part of our freedom of our personal lives is we do choose who to be around. People can easily make choices that avoid people they do not like to be around for quite arbitrary reasons. Is that bigoted?
And they are not being denied healthcare/work/university - just the pleasure of the company of said person/family.
Yes it is bigoted definitely if a black family or person were being excluded. And yes I would call that bigotry. But what about a black family who do not want to invite a white person in. Do we label that? I am not sure it helps. There might be reasons for feelings, better to build bridges than label people.
My own experience of living in a multi cultural area is of having boyfriends who were black, Asian and Jewish (and the Jewish man could not tell his grandmother he was going out with a 'Shiksa' because I am not Jewish!)
So I really abhor bigotry but women making choices not to be around men, for whatever reason is not IMHO bigotry (you are welcome to disagree with me). 
With regard to bigotry, in such situations I would hope school/community would work to change views of the next generation. I am very much against prejudice.
Re "Because that's basically what you're saying - bigotry is ok as long as it stays in the personal sphere." NO I am not saying that I am saying women do not have to be in places where men are if they do not want to be, it is not bigoted not to want to be around men.
Re "Maybe I am overreacting but I was raised in a single parent family for a while. And yeah, it's not nice to be told that many MN posters would prefer kids like me didn't socialise with their DCs because they made the bad call to lose their mothers."
I am not really sure how this relates to what you are saying? Not trying to be difficult but just not sure how this relates.
My daughter's best friend's mum is a single parent, her mum is wonderful. I really do not think I would worry about who the parents are if I knew them and when I knew what the plans were.