This!
Facebook's reason to be is to make extremely detailed notes about what you do, and to share that information with others who might be interested in that. Primarily, that's advertisers who will pay for the data, but that tracking and linking is part of Facebook's DNA. You could avoid most of the risk by meticulously taking certain precautions, but if it would hurt to be outed to your FB friends, just tell your fem self to stay away from it.