Is a cowlick a dealbreaker, or is it possible to train bangs?

I went to the same hairdresser for 21 years, and she would never cut me bangs, saying I had too many cowlicks.

And I do—but don’t most people? And what’s this about training bangs? Is it possible, or am I stuck with limited hairstyles?

I don’t even want straight-across bangs…I just want some facial layers to frame my face.

Info. appreciated.