Heh. Well, first you need to survive. Remember that you barely speak the language which was quite different, you don't know proper social and -- very importantly -- religious behavior, you're not plugged into any social structure, and you don't have any starting resources like money. So you're probably starting as a crazy beggar. Getting to the point where the king's soldiers (or surgeons) will listen to you is a major task.
Also, your body doesn't have much immunity against prevalent infectious diseases and you probably don't have proper hygiene habits for the pre-antibiotics pre-sanitation everyone-has-parasites era.
Let's say I am allowed contemporary pilgrims / travellers attire and start in an international port where they are used to strangers looking and acting strange. London, 1200. Claim to be a pilgrim from a mysterious Christian kingdom (Prester Johns) in Africa. I don't think they would be worried that I am too white. Try hard to remember high school Latin, latinize English words back. A guy in pilgrims clothing and having some idea of Latin and having interesting stories - or at any rate can read or write - is not a beggar, lower-middle class status like an...
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