Worry a bit less about what other people think.
If you like to wear hats, do so! Personally, my head is enormous, so its difficult to find hats that actually fit, so I generally go without unless in extreme conditions, and apply sunscreen to my dome if the day calls for it.
They may even be tryng to get the nerve to ask you about your experience shaving. I know, because I was one of those guys for several years.
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