I was just watching period drama where a women working as a wartime boterbike delivery person stops at a posh London hotel/restaurant for lunch well still wearing leather. Sexy as it was I find it hard to imagine they'd let her in like that in real life
Going "anywhere in public" in pants wouldn't be an issue at all. I mean, women were enfranchised from 1928; pants are no big deal. Now, they would be perhaps frowned upon in a posh restaurant, but dress codes for restaurants are not new. If it were a fancy enough place, they might not let someone in, but the war might be extenuating circumstances.
How realistic is it that someone who could afford to eat at a fancy restaurant would be working in motorbike package delivery?