I want to get rid of a bit of Google's stuff. I installed CyanogenMod on my phone (Sony Xperia Go, but I guess that's not too important) and afterwards GAPS. This changed the launcher to the google now launcher. I decided to just delete it, which got me in trouble, the wasn't able to boot anymore. This makes sense, due to the fact, that it was my launcher, I didn't think much about what could happen, when I deleted it.
So here is my question. I started fresh, and installed GAPS once again. This time I also installed ADW.Launcher and set it up as my default launcher (See attachment). Is it now save for me, to remove Google Now Launcher, or does it do something else, which is critical for running my OS?