most escorts if they haven't shave in a couple of days ask the client about shaving or not.
You'd be surprised about how many clients would rather the escort show up scruffy.
Obviously if in his picture he has a beard, I would move on and hire someone else unless the client is willing to pay extra for the "makeover".
Just my suggestion... stick to your 70's look, high demand and I'm sure your regulars see you because of it. One potential client's request is not worth pissing off regulars who already love how you look now.