While my son isn't yet in grade school, he does attend a half-day preschool program four days a week; three of those days, he's with a great caregiver afterward (so I can finish my workday, closing my own preschool). I also nannied with families for a long time, so I'll just share a few observations.
I found that having the television on in the morning (as a nanny-- we never do this at home) was an enormous distraction to getting the morning jobs of dressing, eating and brushing teeth/hair completed. I have seen moms brushing their children's teeth in front of the television, which to me defeats the purpose of teaching the child to care for themselves. The tv was used to more or less subdue the children from being grumpy, but they were pretty much glued to the screen. When I would come in to work, the kids weren't eating at the table, but in the family room at a play table, so that they could watch tv. (Sticky messes, too....) They became uncooperative and uncommunicative, and then there were the threats 'if you don't do such and such, I'll have to turn the tv off"... bad situation.
Breaking even the worst of habits is difficult. When I tried to help get this part of our day back on track, coming in earlier to help, the first thing I did was to move breakfast back to the table. Whoa! "No television until everyone is dressed and ready for school." Suddenly we were in the land of whining and tears. The mother decided to go back to our previous schedule and keep the tv in the mix. She's a great mom, by the way, I just think they got started down the wrong path and she had a hard time making a U Turn.
I think you are very wise to consider the patterns you establish now. As our children get older, school often starts increasingly earlier. And when young children need their sleep and down time, despite a lot of popular thinking, parked in front of the tv isn't the most beneficial way to get either done. The light tvs emit actually stimulates the brain to be more alert, which makes it more difficult for a child to go to sleep. Downtime is more relaxing to a child when they are given a quiet place to sit and look at books or work on small fine-motor based activities, which is what we do with our son at our Quiet Book Time (mom and dad model this with him, too). Older kids just need some unstructured playtime alone, with whatever they enjoy working with, and this playtime is so important for their personal development of their self. Television does not offer this sort of quality use of time.
We do allow our son about 2 hours of tv a week at present. He's got a 30 minute Road Construction video he's been watching about 4 times a week for the last month or so. This, on weekend days, his one stay-at-home weekday and the one afternoon when he doens't have care. He's 3.5 years, by the way. We feel this is plenty for him.
Trust your instincts, I think you are making an incredibly wise choice for your daughter. When we look back at our children's childhoods, I don't think any of us are going to say "I wish my kid had watched more TV". I don't see television as evil, either, I have just been working with kids too long and have read way too much about child development to find it as helpful as the other remedies of downtime, storytime, or having him be a participant in what we're doing.