This is just one of many things that makes me really sad about the results of the referendum. I know not everyone that voted leave is as bigoted as people say but if they've voted leave for non-xenophobic reasons, it's because the leave campaign lied to them, and that doesn't feel great either.
However, if Scotland gets another indyref, we should be okay here because Scotland would stay in the EU, and the SNP seems pretty progressive towards LGBT rights - they wanted to legally recognise non-binary genders by 2020 and make legally changing your gender marker a simple statutory declaration - but that won't solve any problems for people in England Wales and N. Ireland...