It’s okay, don’t punish yourself! We’ve all done it… Weather you left the poor guy out in the rain, or you personally threatened the life of your succulent by drowning him with water.. Your plant can be saved.
The main objective is to dry out the soil. I highly recommend using a little shovel or a big spoon to gently scoop the succulent out of the soil, along with the roots. Next, mix the wet soil with dry soil or put fresh dry soil in the pot. Replant your succulent and let it be. If doing this is not an option for you, you could try and let the sun dry the soil out for you.