Could The Peeling Skin Around My Toenails And Between Toes After Wearing Wet Socks Be A Fungal Infection Or Something Else?

I wore wet socks and shoes to gym class today because it was down pouring. Now the skin to the right of my big toenail is peeling. There's no pain. It's just red and then peels. I also have an ingrown toenail there so it's slightly concerning. On my right foot it's by the big toenail but I've also seen peeling on the small toe and in between toes on the same foot. On my other foot it seems there's a bit of peeling on the underside of my foot.