The first time I saw the burkini – the controversial swimwear worn primarily by Muslim women, whose ban on French beaches was recently overturned by a French court – I thought, if I wasn’t often so hot, and not in a good way, I would definitely wear one.

Indeed, when I first hit the beach in Bali – the Hindu island of Muslim Indonesia, where everyone lets it all hang out – I was dressed in a one-piece and a sarong, accessorized by a beach umbrella.

I cannot have the sun beating down on my head – I take my daily constitutional with an umbrella or parasol in the warm-weather months – and I don’t want my skin overexposed to Mr. Sun either.

I’m not alone. British chef Nigela Lawson sports a burkini at the beach to shield her fair skin, and the swimsuit has been championed by members of both sexes and several major religions, along with lifeguards in Australia, where it was designed by Lebanese-born Aheda Zanetti. ...