Which shouldn't be a problem, as Scotland voted in favour of remain and declared its will to stay in the EU in the European parliament.
Scotland is not in the position to appeal on an independent footing. Sturgeon can say what she likes, but that does not make it legally or constitutionally valid. Scotland IS a part of the UK, and it IS a part of the same UK, that has democratically voted for a Brexit. like or dislike does not come into it.
This isn't some game where the wealthy, or political get to shuffle the pieces about, because they don't like the rules.. it was a national vote, and while i'm loath to agree with a Tory, May is completely right, now is not the time to be playing politics, now is a time to pull together as a country and get on with it.. not create further frictions, add to the chaos, and weaken the UK further.