You do remind me of my mother..
It's the no time for fun/everything must be improving you/productive/useful thing.
That left me with a HUGE hang up about doing stuff, I couldn't do relaxing stuff just for me, nor could I do creative stuff for the fun of it.
I had to have a purpose for stuff, so if I wanted to sit and draw or paint, that had to be FOR something or someone.
Can't waste time watching tv (but time spent reading fiction was just fine...)...
Computer games are ridiculous and outrageous and stupid.. waste of time and money.
Internet isn't real, people on it aren't real, waste of time and money...
She'd be astonished if she had lived to see me making my income from doodling around, from internet apps where I talk to these 'not real' people, from stuff she saw no point in whatsoever...
I'd also be a lot happier, more productive and also better able to relax if I could feel 'free' to do things for fun, for messing about, for experimentation. I've definitely lost out on jobs because my drawing/digital art skills are not flexible enough to produce loads of styles (i can do several but for big illustration pitches, range is everything!).
Catch yourself NOW - stop this. If she wants to spend her hours time with you telling you about her god awful computer game - let her. If that is how she wants to spend some of her free time, fine.
A computer game is no more a waste of time than a book.
Talking about the things she enjoys - thats life, children enjoy some pretty awful, banal, inane rubbish, she'll grow out of that in the end.
At 11 though, if you stop her, if she has even the tiniest inkling that you are not keen, you will leave her feeling that it is HER you don't want to talk to/spend time with.
Right now she will link her own identity to the things she loves very closely.
So saying you really dislike something she loves.. you can't see the point in something she invests time in.. it can be like saying you dislike her, can't see the point in HER.. Tread very very carefully there.
I get why you don't have time to waste and why you want her to be independent and capable - but let her be a child first, and let her learn how to explore freely and have fun and yes, waste time sometimes. It is a valuable skill and essential to mental health.
I do agree with punishing her for effectively stealing money, that's another matter of course!