Yes, that's true, but the other side of the nobility is also French. And the journey is not very long, between 1 and 3 days in the 16th century. Over time the speed of the journey will increase. It is not a big barrier like the distance between Korea and Japan is.
And it is estimated that approximately 30% to 45% of modern English vocabulary is derived from French. In another century or two it will be a mostly French language with a minority of the local language (somewhere between 30% to 40%) And with each passing generation it will become more Gallicized.
England was unified in the 10th century and at the beginning of the 11th century it was conquered by the Normans, which placed the country in the French orbit. England only truly became independent after losing the 100 Years War. Before that, it was basically backward for part of the French nobility (aka the normans).
Yep, those who will speak French will be the nobles, the bourgeoisie, artists/music,scientists, the clergy,etc. Basically the people who matters. Over time and with the economic rise of people, the peasant population will abandon English (or the local dialect) and migrate to French TTL.
I see it as very likely that English is an endangered language at least of not absorved in to the french group. Irish and Scottish languages are basically gone, local French dialects are basically gone. The government's language will be French, which means that other languages will not be used. In the long run, if languages are not used, they die. Maybe ITTL some kids have English in class as a way to maintain the language. Something similar to Ireland.