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Another option is a sort of "disguised picture" - so headshot in sunglasses at an angle - so you aren't really recognizable unless someone is going to study it hard.
Also - what chatty said - people tend assume that a man without a photo was married so are super cautious. Internet dating is like going out for dinner on your own.
When I joined OLD I felt exactly the same I just had a browse no picture up very little details.She’s wildly happy and it’s lovely to see after the horrible divorce she went through.