The Mad Rapper, am I right in thinking you object more to the corrections than the principle she's putting across that you ought to improve your English. Its making you insecure because she's in a minor way, saying she doesn't like something about you. Are you resisting because you feel she should accept you how you are?
In my opinion, this is a huge non-issue that could be resolved with a small compromise from you. Indeed perhaps she ought to accept you but to outsiders (I believe this is the vibe most of us replying to your thread share), its a logical thing for you to be the one making the compromise. Proper grammar is by no means a measure of a persons worth but it is a important life skill and will make you come across as smarter and more articulate. So I think you should suck up your pride and learn. Easy for us to say of course, but thats life.

Indeed, I think this is in a round-about way, a very positive thing for your relationship.
Think of it this way, she might be trying to train up a few of your weak points to make you more suitable a role model for her son. She's committed enough to you that, perhaps without even knowing it; she wants you to act as the kids step-father in a manner perhaps more direct than it is now (I don't know the nature of your relationship with her and the boy).
Just my thoughts for you.