No, I understand that you're not making that assumption.  Definitely a good thing to suggest that a woman would prefer a female tech.  My wife changed her first name to Russet, and when she had the first night of her sleep study, the neurologist report - and she never met him - used male pronouns throughout.  So the second night, when they were testing the machine (this was like a decade ago), the tech (a woman) and my wife, whenever they wrote Russet's name in the paperwork, always followed it with ", a woman, ".  Still, the neurologist came back with male pronouns.  So as far as we can tell, he never read the paperwork in any detail.  Therefore, did he read anything?

My wife was not a happy camper.