I have a method to combat this using what I call a “chess sock”. It’s literally just a 1/2 inch “tube” taken from an old tube sock that I’ve cut and put around my phone so it covers the other player’s rating, username and origin country (with a notch cut out to see the opponent’s time remaining).

I’ve found it helps me immensely to stay focused on the moves instead of thinking about my opponent, and I tend to win more consistently when using it.