In the near future time I invent time travel. But when perfecting it, something goes wrong and I'm transported back to the time and place of the Black Death. I wasn't prepared for this, and try as I might, I can't find my time machine (those parts could've been useful), so I'm stuck here for a while at least. I didn't bring anything except the clothes on my back (luckily I have a penchant for wearing medieval clothing at all times, so retro ...). And I sure am lucky I learned a few thousand living and dead languages while in school, so I'll be all right wherever I am or go.
I have to figure out some way to survive without modern medicine and hygiene. People are already dying around me, and it's possible I've already caught it, so there's little time to try to reestablish any kind of modern technology.
Some of what I could try to do is probably obvious - good nutrition/hydration, isolation, surrounding myself with cats to kill the rats, makeshift facemasks, wash with soap, boil water, get some citrus and see if I can make some rudimentary penicillin.
Are these things going to be feasible? Are there any other things I can do? What are going to be my biggest challenges achieving these things? What skills can I be recognised for quickly to use to trade for some of these things? Am I going to get burnt at the stake for my strange ways?