Accidently deleted Bootcamp from DU and now can't start Mac OS
So I made a really dumb mistake and deleted my mac partition in DU instead of going through Bootcamp Assistant. Nothing happened at the time but upon restarting my Mac I got the infamous folder with the question mark. I did the Internet Recovery and entered OS X Utilities. It appears all my data and files are on my original partition still so I didn't lose them and after verifying it, it appears ok.
My question is, how do I get my Mac OS back from here without losing my data? Will going 'Reinstall OS X' do a fresh install and delete my data? I also don't have a backup, which is worrying.
I also do want to get my full 500gb for my Mac OS but I'll deal with this problem first.
Thanks for any help