I was taught to never take counter offers from current employers. If you stay and take the better deal your employer always has it in the back of their head that you're a "traitor" and will leave at the next best thing. They'll always be paranoid you're looking for a new job and are suspicious of things you do. Plus, when it's time to downsize guess who they've got their eye on?
Is that logical? No. Of course someone will want to take a better deal at a different job. It's all part of improving your life and looking after yourself and family (who always comes first). Whether it be by more money, a better environment or a more enjoyable job. But, companies don't think this way.
You must treat yourself and your career as an actual business. So yes, it's unwise to burn bridges and I would like to eventual use this place as a reference, especially since I'll be documented as male.
I don't want to sue- for many reasons. I know it would out me, out me to anyone researching it and cause concern for a potential or current employer. However, if the s**t really hit the fan I won't just roll over and die.