As far as I know, you haven't broken any rules. So no need to worry
Basically, a rough explanation of what a furry is: Just someone who likes art with anthropomorphic creatures. You're only a furry if you want to be.
You don't need to be 'fully submerged' in the fandom to be a furry. Not all furries like fursuits, or have fursuits. Some furries do not want anything to do with fursuits, but can still be 'die-hard' furries, so to speak ^^
You don;t have to tell your mum yet, but if you have an understanding mother, and you two are open to each other, I'm sure she will take the news well. Sometimes the reactions, the expectations are completely different from how you think they will be. Most often they are the opposite of one another.
For example, to elaborate: You might think your mother will get mad at you, or think you're weird. But when you eventually decide to tell her, she might react not interested at all. Kind of like: 'Hmm, ok. Whatever you like to do is great.'
But then again, I don't know you, your mother, or your relationship to her is. Before telling her you are a furry, see what she knows about it. Try and explain to her what a furry is, and then in time, you can tell her you are one too.
That is what I would suggest you could do.
I thought people in my environment had a negative perspective on furries and the furry fandom, because of all the bad media attention. But I found out that they were very open and clear minded about it. I guess I was lucky in that way, but still (:
Never assume things.
There are many tutorials out there to learn you how to draw anthropormorphs better, so I would also suggest looking those up and learn yourself how to draw better
If you just want to chat or have questions, you may always PM me too btw ^^
Anyways, hope this helped and good luck to drawing your fursona