I totally can see your point. We're suppose to be united as one and an extension of one another. If I needed help and the only person around was my manager, HECK yes I'd ask if they were willing to assist.
When I was growing up I was taught that I call older folks by their last names, including, but not limited to friends' parents. I still do that to this day, unless they have a huge problem with that. It *is* a sign of respect, however now *we* are the older folks. I've not been called "Mr." unless someone was being funny, but I can see it happening soon and I'm OK with that.
It wouldn't surprise me if people called all their managers by "Mr/Mrs" when they first start out b/c many times managers are a fair bit older than the younger floor nurses/supervisors. This being said, however, if you're close in age OR you are even OLDER, I'd have definite issue. It's showing respect for your elders, IMHO, not 'showing respect for management' as is sounds as she's doing.
In short, I don't know if you put your age down on your profile... I introduced as, "Hi I'm Jane Doe, but you can call me Ms. Doe", then I would have no problem, and vehemently encourage you to introduce YOURSELF as, "Hi I'm John Smith, but you can refer to me as Mr. Smith." If she balks at this, then you may have to have a heart to heart with her. Something along the lines of, "Wow. You must not want your employees to approach you for any issues." If she asks what you mean, you can simply explain to her that you're not in grade school, nor even college. You are coworkers, and while she *is* the manager on the unit and you will give her your full respect, taking it to these lines is a bit much, and quite frankly more than a little condescending to others.
I support you 100% on this one. I view it as totally inappropriate, condescending, and rude.
I *DO* think you should meet her first before making your final decision, because she might be a sweetheart. Heck maybe she's your grandma's age and you really WILL feel more comfortable calling her Ms. Doe b/c she's ancient!
FWIW having an extensive psych background, I can almost guarantee she knows that this is something that others will have a problems with. In my opinion she would view it as you don't want to let go, but I could be totally wrong and she might not see the error of her ways.