Juliathebooknerd Fo' life!!!! First off Rice does not work, you might be wasting valuable time. It does not stop corrosion nor will it fix any shortcircuit. Keep in mind that water damage is the hardest to troubleshoot and to repair. It does not matter if is was exposed for 2 seconds or 2 hours, what matters is where the water (particulates) did the damage. As with any other liquid immersed device you need to follow a few steps for proper trouble shooting.
stop continuing to try to charge, sync or otherwise use your phone. This potentially can make a bad situation worse.
The very first step I would take is to disassemble your phone. Use these guides iPhone SE (1st Generation) Repair to help you disassemble your phone. Take a careful and close look at all components and connectors. Truly assess the damage. Look for major corrosion, evaluate the pins in the connectors etc,. Take a look at all connectors as well as cable ends. You will have to remove all the EMI shields. If you do not remove the shields, you are not cleaning the board. Once you got the gross contamination cleaned, use 90%+ isopropyl alcohol and clean your parts some more. For a proper cleaning, use this guide. It was written for an Apple iPhone 3G but it is still pertinent to your phone as well. I can not stress the importance of a good cleaning enough, so do it over and over while replacing the alcohol after each cleaning. Do not use compressed air for the cleaning since that can drive liquid as well as corrosion particles into areas that will cause trouble later on. You do not need to leave it to dry for a day. Isopropyl alcohol in the higher concentration will evaporate quickly and dissipate the water. The importance here is the cleaning. It would of course be best to get it professionally cleaned Do not forget to replace the battery. This is a must and not an option. It will fail if you do not take care of it now. After that, reassemble your phone and re-evaluate. For as long as you have not cleaned your board and replaced the battery, everything is just a guess. The longer you wait the less likely your chances to revive this phone.