Using singular they is fine, but since too many people will jump on you and say you're doing it wrong, it's probably a better play to just restructure the whole sentence to avoid gender and the awkward double first name. Something like:

"$NAME wants to make your day with a $20 gift card..."

The author here is incorrect. I also dislike namedropping random startups / people I've never heard of, or actually just namedropping in general.

Also: http://xkcd.com/326/