Any men in here go out with women who make a lot more than them? I have no problems with women being paid what they deserve, but I'm paid well and are now intimidated by a women I like who is paid a lot more than me (found out from one of her friends). Not stealth bragging but I've never gone out with someone who makes 20% more than me but is younger.
Did her friend casually tell you about her salary without warning, or did you ask? I'm kind of curious about that. I'm assuming it isn't the latter, since you seem a little taken aback. If that's the case, I'm surprised that her friend would feel the need to tell you something like that. She really need to check her friends about that. It's not cool.
As for your actual question, I'd recommend that you try looking at it from another point-of-view to avoid that feeling of intimidation and inferiority. I think it's a matter of looking at them from a success-based standpoint than a monetary standpoint.
I, for one, like dating successful women. That doesn't just mean that they have high incomes, but that they know what they want in life, work hard, and reap the benefits. Whether or not the reap more benefits than I reap isn't the point. It's knowing that I'm with a driven and successful woman. At no point do I compare their success with mine. It's not a competition. It's just dating.
Now, if you're dating someone (and this goes for men and women) that likes to brag to you about their riches ad nauseum, that's a different story. That, too, has happened to me before, and it's incredibly obnoxious. In my case, she would gloat about how she could go in and pay cash for any car she wants, and wanted a man that could afford to keep up with her splurging. It was ridiculous, and that's when one ought to pull the plug.