For the record, eddie: I don't think including the turnout helps, unless you assume that all those who did not vote would have supported the Remain camp. I wish that the remaining electorate had voted -- I always hope that turnout will one day be regularly in the 90%+ range -- but they didn't so never mind.
"Brexit means Brexit" doesn't mean anything, as krom says. It looks profound but it really isn't. Rather like the "red, white and blue Brexit" (as in basically what the US and France want?). It's just a soundbite.
I'd hope that May takes the electoral result as a hint that she'll need to get much more consensus for what she wants. Perforce she'll have to anyway, so it's more a case of whether or no she realises that. But if she sticks to her guns, she might soon find out that "Minority government means Minority government".