Sex is biological (male or female), gender is the way in which people identify their sex (masculine/feminine). In some cultures, particularly in Oceania, there are three genders. So no, they are not the same thing.
As far as I'm aware, the Royal Family (and most likely the government in exile) were going to be shipped to Canada. Although, had he not been in the Caribbean, the Duke of Windsor may have become a Royal figurehead for Wales, Scotland the north of England (much like southern France). But I generally agree, it was the failure to conquer Britain that contributed significantly to Germany's inability to conquer Russia. Perhaps it would not have been an immediate goal to...
Of course it would have failed, if the Battle of Britain had gone the other way, however... And sorry on my part, I meant that had Germany defeated Britain, they would have the ability to assert control over 25% of the world's population.
Sheer insanity of invading Britain? Had Hitler gone ahead with Sea Lion, the world would be a lot different. Britain WAS in a state, but we still had an Empire that spanned 25% of the world's population.