Ladies can get a bit of stick re armpit shaving versus not shaving. No matter what you do, there’s always someone who feels they must pipe up and complain.
Proposed compromise/solution: why not shave just one armpit? The left only? I realise asymmetric hairstyles may look a tad ridiculous, but they’re not without precedent.
Consider https://geekologie.com/2011/04/all-the-rage-ridiculous-monkeytail-beard.php. Here’s a huge horde of strapping gentlemen queuing around the block to take one for the team and provide for the ladies a bit of psychological padding against the event of shaving just one armpit and then receiving scorn. These blokes are scorn magnets.
Same with Lee Mack. Good man.