ummm
is she registered with the relevant authority (eg Ofsted in England) ?
does she not take your baby out and about in the community already? (I appreciate that not everyone lives like me in the arse end of nowhere where a car is essential as public transport = one bus a day and the decent groups are in the next village, too far to walk to, no pavements make too dangerous anyway)
I would have expected you and her to have discussed a little bit about what the baby's day might look like (out and about in the mornings, take snack, back for lunch, naptime, play, snack, schl run, play, teatime, home) and am frankly astonished that she hasn't got a car seat already - what if yours cannot be safely fitted to her car model?
doesn't sound v good I'm afraid, when you add in lack of variety in meals and dependence on tele 
Do you get a daily report/diary of the baby's day, what they've been up to, 'wow' moments, food/milk intake, sleep times, their interests etc from the CM?