Okay. Here it comes. A situation where it's actually relevant.

I would use the time machine to go back to 1999 to tell myself who I am. I would force myself to come out to myself and tell myself it would be in my best interest to come out to the world. But you know. Only if it were relevant because it's not that big a deal.

Then maybe I wouldn't be in the position I'm in today.

And yeah. There's nothing in the laws of physics to prevent time travel.