Have you never modified your language to fit the social situation OP?
You daughter is using the language of her peers when communicating with them, not you. Most people do this. My vocabulary is different depending on whether I'm talking to work colleagues, friends, family, people I don't know etc.
I'm naturally a bit sweary with my friends, or my Dad, but I never swore in front of my Mum, or young kids, and it's not an effort, it's just a different mode of speaking.
It's the same with work, I work with a bunch of scientists (I'm the only one in the company without a PhD), and as a result my language is more precise with them, even when talking about something completely un-work-related. Again, not a conscious decision, just a natural communication style.
Just because your daughter is "innit"-ing all over the place with her friends, doesn't mean she's going to lose the ability to communicate correctly in other social situations.