NEED HELP! Strange request from my boss about conditional branding!

Hi All,

I’m stumped. Here’s the request from my boss:

We have a site that sells products to medical practitioners for their patients. He would like to offer our customers (the doctors) the ability to sell directly from our site, but branded as if it’s their own site. He’s thinking this could be done via some conditional logic based on a subdomain or some other variation of our domain.

Example: is our normal site with our branding, etc. - would be our site, but branded as if it’s the doctor’s site.

Does that make sense? Is this even possible? What are the SEO implications of doing several of these?