How do I get the Gerudo tailor to come to Tarrey Town?

If you're near Gerudo, then I suppose you're dressed as a Vai (woman) ?

Because she's wondering about how she could find a Voe (man), so dress as a guy, and a discussion will follow in which she will judge it wouldn't be that bad to follow you.

First, make sure that you're on the section of the quest where Hudson has asked you to find a Gerudo tailor.

Then, speak to Rhondson while not dressed in the Desert Vai outfit. Basically, any other set of clothes should work.