Staying consistent is a huge thing to having an Anti-Sue. Of course, character development is important, I'm not stopping that at all. What I mean is, if you've decided on a shy character, stick with it and build her confidence, don't just flip between confident and shy every other chapter because it fits.
Mainly though, it is important to just stay consistent for the story as a whole. I swear to god, I read a book once where the main character's name changed half way through. This is what you ideally want to avoid.
I always keep a log when I'm writing. I probably don't write one properly; basically I make a short list of my characters, what they're like and a brief summary of every chapter so I know what has happened. This means that when I write the next chapter a day or week later, I can remember what has happened so far in my story. Planning can also help with consistency as it prevents you from drifting too far away from the original story line.
So, my main note to take away from this chapter (from a character side of things) is:
Keep them looking similar unless a change is undergone and development should be progressive, not a sudden adjustment.
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Anti Mary-Sue Character Guide
Non-FictionHere is just my list of tips of how to avoid creating/writing a Mary-Sue character. Take them as you wish. Greatest Achievements: #1 in non-fiction!!!