One other thing is when riding, try avoiding the painted lines on the road in the wet, they can get really slippery. Also same for wet leaves. Always try to do all your braking in the straight line before the turn.
Once you get warm riding it's comfortable. What you need to watch out for is if your clothes can breath... it's not fun when your water proof from the rain, but all wet from your sweat. It's a fine balance. The only thing that makes me cringe when I ride in the rain is if I don't have fenders and your but crack gets soaked. Second thing is if your socks get soaked and your squishing every single pedal stroke. So I would always try to put on booties and wear merino wool socks and base layers. It makes it more comfortable.