There is no "man's work." You can change a tire, build a fire, take out the trash, invest your savings, fix the plumbing, and so forth. Now, if a nice man wants to help you with those things, and you want his help, by all means take it. You have nothing to prove; I just don't want you to count on a male human handling things for you that you are entirely capable of handling yourself.
Remember that most fairy tales were written by men. Some of the greatest writers of children's fables were male: the Brothers Grimm, Hans Christian Andersen, even Walt Disney. You are not a tiny princess awaiting rescue by a valiant man, a symbol of frailty and naivete, or the punch line in a morality tale. The women in those stories were crafted by a different sex at a different time for a different audience; these days you slay the dragon yourself.
You are more than a footnote in someone else's story. Don't be "the other woman." She's always a quick side note in the great saga of another couple's love. Cast yourself as the lead in your own life, please.
Take yourself on dates.A delicious restaurant, a visit to a museum, a matinee - you are your own best company.
Being intelligent, beautiful, wealthy, talented, witty, or powerful is meaningless if you are not also kind.These and more in Prudent Advice.