What to do with my swollen eyelid?

Sounds like a stye: Do warm compresses using dry heat for at least 10 minutes at least once a day followed by lid massages. Hopefully, it drains on its own. If not, see an eye doctor!

Warm compresses!: Sty! you can use warm compresses - a washcloth with warm water and hold it to the closed eye for 5-10 minutes 3 times a day. You can massage it with your fingers after the compress, but do not aggravate it. You are trying to get it to drain on its own. You may need it incised and drained if this does not work. See and ophthalmologist. A sty is not and infection, so antibiotics do not help.