That might get you paid employment, but a husband, not so much. A man’s looking to be fed, get his clothes mended, and see you contributing to the household income with some homebased task, all of it adding up to a working day at least as long as his.
Besides, the inbred* inhabitants of your tiny** island might be suspicious about “foreign ways”.
Insofar as a thousand years of invasions from the Romans onwards had caused the population to be “inbred”, that is.
** Insofar as a landmass of which you will never see more than one percent during the rest of your life using the only transportation and communication methods left to you can be deemed “tiny”, that is.
Not that either would sterilize anything, but that both were fairly sterile in themselves by virtue of the process by which they were made and the use of clean water in that process.
The real question is: what problem could he solve in a much better way with his current-day knowledge? Being able to drive a car is not a useful skill in a wood-powered world.
It would probably be doable to “invent” electricity, but making electric lights is hard, especially without access to good raw materials, and without copper you probably wouldn’t be able to make generators and electric motors that are powerful enough to do something useful.
Maybe arc lights would be doable. Or gas lights.
How about recreating penicillin?
Decent clocks for navigation?
Even if you have a good working knowledge of lots of basic science, without knowing the engineering details it would be extremely hard to recreate much, especially with no existing infrastructure to speak of, so you have to make everything from scratch.
Then again, if you would go into astronomy, alchemy, agriculture or the military, you’d be able to clean up after learning the state of the art for a few years and then moving that state of the art forward at a good clip.
About being a woman in those circumstances: there are numerous stories of women passing as men back in the day, perhaps in those days without make-up and with bulky clothing, people weren’t really used to identify gender by looking at someone, but rather depended on clothes/role for that. Probably the only give-away would be lack of facial hair, which wouldn’t be an issue for a young woman passing as an adolescent man.
A man’s looking to be fed, get his clothes mended, and see you contributing to the household income with some homebased task, all of it adding up to a working day at least as long as his.