In the past, I probably wouldn’t be found out, but I’d probably also die more easily. I’d have to be in Tudor England to even have a chance of speaking the language. If it was a dice roll of going to where “my ancestors” lived, I could end up anywhere in Europe, and parts of western asia and north africa.
In the future, they might find me out, but I’d also probably have a much better time of surviving. I’d prefer to go to the future.
A translator app on a phone could probably make heads and tails of my English dialect (I mean, they can do that today), and travel would be as fast as modern travel or faster, so once I identified a locale that I thought I’d like I could try to get to it. Basically, more opportunity would mean more options to be safe, and to survive.