Firstly, sorry I've written such a long post; couldn't help it!
Second, it's only day 1, don't despair! I've got to say though...To start potty training today (for the first time I assume?) and expect her to be ready by Monday it is a bit ambitious indeed .
My daughter turned 3 on the 11th of August and since I'm on garden leave and she stays at home Thursdays and Fridays I decided to properly start potty training on the 9th. My trick was to put her on the potty every 40-50 minutes, remind her (calmly) that the potty is there for her and look for...signs. Children concentrate and get quiet a bit more when they want to go the toilet (more for number 2, but still..). I started promising her a biscuit (with no sugar! :)) every time she had a wee (toilet or potty, didn't matter) and the first couple of times (probably more) she had a wee we were all very excited, giving her stickers/biscuit, praising her, etc. so she started feeling a bit more at ease and proud of herself. She only had one accident (wee) at home and one at nursery and since then it's going quite well (more or less -she still cannot have a poo at nursery and she has asked a couple of times for her pull up to have a poo -I just ignored her).
We tried potty training at nursery in May for the first time and she just couldn't get it. Kept on wetting herself EVERY single time she had a wee, so we gave up after 10 days as we were going away for a month and moving house as well. I was told that girls can be potty-trained quicker, however, with us it didn't work this way the first time. I feel that this time she was ready and it just clicked.
I've got to say though, I don't think that your nursery is being fair and I agree with gintastic, this is discrimination. My nursery have been very helpful with both the dummy and potty training (this is their job, isn't it?).
On the pull ups, I agree with Gina's potty training book; there is no real point in them. In fact, it might give mixed messages to some children. We do use them at night and nap time, however, she understands the difference now and she tries to keep her nap-time pull-up dry (there are some brands that have a wetness indicator, so if she wakes up dry she gets a nice sticker, etc.).
By the way, the start chart does work and even if your DD doesn't understand how it works yet, this is not a problem. We bought the star chart before my DD's second birthday and we started emphasising on each star daily. Sometimes, if she was very naughty during the day, we wouldn't give her any stars and this is when she started getting it (as she wasn't happy).