Men who don't realize women are equal to them in terms of willpower (but often times don't exert that willpower unless situation or circumstance calls for it) are egotistical pricks.
Men who cower upon the realization that a woman possesses equal willpower aren't men, they're pussies. Anywho, I need to eat lunch now.
...and on a side note, I know two lesbians at work and the gym, and they're the most independent and self-assertive women I've met. They're dedicated, they're tough, they're reliable, and on the whole two of the most distinguished women I know. Why do I bring it up? Dunno, but they're strong, just like many women are, but instead of containing that strength, they openly display it.
It's all about personality. Some people have personalities other people like, and some have personalities other people hate. Some peoples personalities are what cause them to like or dislike others with certain personalities, and sometimes people with a certain personality are considered pussies by others. Kids that go into my gym and walk around with their heads hunched and shoulders sloped don't get any respect by me unless they show the strength to straighten up and have a little dignity and courage--my god I'm going way off topic here, I need food.
...in short, showing your personality is a good thing. Self-assertion is a good thing. The fact that you're strong and show it doesn't make you egotistical, it's just you advertising your talents. Nothing wrong with that.