Well, even if the filter can be saved, I think I'd rather just be on the safe side and get a new one. Thankfully, I still have water from the old tank so I have a cartridge in it. The filter only costs about $10, so I don't ming spending it on a new one.
Honestly, going through the garbage and finding it is the last thing I want to do. I finally got the smell off of me and I don't want to go back xD
EDIT: The liquid got on my clothes, not my skin, thankfully. I would've scrubbed to now tomorrow though! :)