I think you should put them in. No need to be sexist in such a "database." There's some good music sung by male French performers, even if they're not your favorite.
Pascal Obispo is really quite good IMO. Here's one of my favorite songs that he's done. You'll have to excuse the rather excentric outfit he chose for this particular concert (no, he doesn't really dress like this). Actually I prefer his performace at La Fête, but there isn't a readily available clip of that for me to embed.
Pascal Obispo,
Lettre à France
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