In-character (IC) vs. Out-of-Character (OOC)

This is the most important concept to understand for role-play:

In-character (IC) describes the state of acting through the eyes, ears, and body of your fictional character. Basically, all physical actions and conversations would be based as if you are really the character, through the emoting and writing guidelines detailed below.

Out-of-character (OOC) describes responses and interactions with others as your real-self, in out-of-story context. Basically, being OOC means you are not role-playing and are restricted to communicating in IMs and group chats. If you need to break character temporarily, you may do so by surrounding your text in brackets, for example: (( I need to use the restroom, I’ll brb ))

I had a situation recently happen when I was in the middle of RP and someone broke character to correct my RP. Then proceeded to do it again..which finally I responded to it. Then an admin was called on the situation. Now regardless of the reasons and everything.

Based on the rules of DE .. most OOC should be left to IM's yet I was the one being accused of doing wrong with MY RP. When a simple question OOC'ly would have cleared it up. So my question is what is the right thing to do in local? Should you be breaking immersion in local to spat off OOC things or be taking it into the individuals IM's? Is it not rude to go OOC in the middle of a scene?