I put all my succulents outside, and it has been raining so much that they are looking crummy and I am terrified of them getting root rot. x.x

Can you bring them inside? or put them in pots to bring inside?

Hope you have them planted with good drainage. But if you can bring them in as Bev suggested, that will be best.
How long has it been raining? Rain during summer for my succulents, which does not happen often, is at times good, helps them stock up on good old rain. I am more afraid when it rains during the cooler months. That makes rotting faster.

They have good drainage, and it has been raining for the past 5 days. I could ask my dad if he could put a tarp up when it rains

Can you put large plastic trash bags over them?

That may work, a tarp or maybe a plexiglass, prop it so there is still air passing through the sides a bit.
You got tons of rain, while we head to blistering heatwave ugh..no perfect weather

I lost a beautiful 16 year old variegated jade tree from stem rot during the summer a few years ago

Oh, that is awful and sad. I would also suggest, try to get several nice leaf cuttings and have them dry up & root it later. Just in case, something to hold on to and start anew later on, maybe a long haul back-up, but at least there is something from the plant you love.

with Tarev; good idea!

I will do that with the jade tree my aunt gave me which I would guesstimate is 20 years old. I have so many lost segments from my Thanksgiving cactus so I am all set with them since I can plant those easily.