It is so bad for you to get the bit of deet by accident. You should be careful for your eyes. You should wash the eyes with clean water as soon as possible. Then you could use the clean cloth to dry the eyes. Then you could use the warm compress to make your eyes feel comfortable. You could have the a try at the above ways.
Deet cannot damage your eyes unless you put them into eyes everyday. When some of them skip into your eyes, flush them out with water is okay. Do not rub or scratch eyes with hands or something else. And then drop some basic eye drops to reduce pain and burning in eyes. Stay fit is the last thing you can do.
Well, of course, you do not need to worry about it too much, and just try some ways to treat it. And then it will be fine. First, you can have some cool and pure water. And just wash your eyes with pure water carefully. And then wipe your eyes with soft cloth. And then put some ice under your eyes, and have some cold compresses to relieve your situation. As deet is made of various chemicals, which can just cause eye infection in some degree. So just do it as soon as possible.