Idiosyncrasy vs Pet Peeve

Ok so what is the difference between an Idiosyncrasy and a Pet Peeve?
Let's see the what the dictionary says:
Idiosyncrasy:  
                         * a mode of behavior or way of thought peculiar to an individual.

                  *a distinctive or peculiar feature or characteristic of a place or thing.

Pet Peeve: *something that annoys or bothers a person very much

                            * a frequent subject of complaint 

Ok, I found that horribly insufficient, I think for the average person these two "behaviours" overlap.  In my persnickety world an ididiosyncrasy is a pet peeve one accepts for who/how the person is. I work with a wonderful women who at 78 (although she looks to be in her early 60's) has developed her own unique ways or idiosyncrasies. Don't let age fool you though, we develop these as early as newborns carrying them well into adulthood. Anyway back to the wonderful lady I was telling you about, she has this thing about all the trash cans being empty before we close everyday. While off hand that may not sound that strange, you would need to know despite having 8 trash cans we only throw out 1 bag of trash. (Huh? You might be asking.) Mrs. Wonderful takes all the bags of trash and empties them into 1 bag, ok still somewhat normal sounding right? She will flip out if you throw something out in the bathroom, if she has already dumped it into the front trash. Once she even picked out trash of one of the bags to walk it to the dumpster because I had thrown the trash bag out! Now personally while I find it a little odd, I accept it as one of her idiosyncrasies. I do not classify it under pet peeve. I accept it for what it is.

Does that mean I do not have pet peeves? Am I human? Of course I still have pet peeves! If you eat with your mouth open I will cringe inside, while politely placing my finger on my ear to block out the disgusting sound of a cow chewing cud...ahem so sorry- this one has been engrained as a child. "Chew with your mouth closed!" Now granted while that makes utterly sick I can be polite and still like you despite your chewing habits. 

Now chewing is annoying to me, but not detrimental to my over all being. I have learned in the last few months I have a major issue...er pet peeve about being asked direct and/or frequent questions. For my sanity and everyone else's safety I need to learn to accept people will ask me questions, often at rapid fire with no chance to answer....ahem and I will have to answer them. I hate answering questions that I do not have a prepared answer for, so I often respond with a snarkey response, rudeness, or just flat out anger. It's my way of relfecting and avoiding. So how do I go about accepting there will be questions and I may not have the right answer? How do I accept being wrong? How does anyone?