Hello. I was in a very similar situation a few years ago. My son has CP and uses a wheelchair. The application for his statement (as it was then) was made about a month before the school applications deadline in January of that year, so like you, I just put on his school application that he was a wheelchair user and would have a statement (because it was blindingly obvious there was no way he could access an education without one). However, of course the statementing (now EHCP) process takes up to 6 months, so was not completed by the date when the school places were announced, and the system is black and white, so you are either a statemented child or not, there is no middle ground for 'EHCP has been applied for and very likely to get one'.
So, when the places came out we had been allocated our 4th preference school, which was too far to walk. I broke my heart and started lots of letters to the council, also started the appeals process.
However, we never went to appeal, because in May the provisional statement was issued (as predicted, it was clear that he needed one). At that point he became a 'statemented child'. Those children are classed as 'excepted children', which means a school has to take them, even if full, unless they are not able to meet the child's needs. Therefore he was immediately offered a place at our chosen school, even though that took the class size to 31. We had been in contact with the school throughout and they had been supportive and welcoming, so were expecting him as well.
So, my questions to you are 1) when was the EHCP applied for (ie how far through the process are you?) 2) Is your daughter a full time wheelchair user, or are you just talking about using a wheelchair for the walk to / from school and she would then walk around school on her own? 3) How affected is she overall by her CP? eg will she need help dressing and undressing for PE, will she need someone to scribe for her? The reason for asking those is just to assess how confident you are that she will be awarded an EHCP. Have you been advised (by someone who knows!) as to how likely she is to get one? It does seem to depend (unfairly) on which area of the country you are in as to where they set their thresholds.
If you are confident that she will be awarded an EHCP and you know your chosen school can meet her needs, then she is extremely likely to be admitted to that school once her EHCP comes through, even if they are full, because that is the law. I wish someone had told me that...... would have saved me a lot of sleepless nights.
However, I would continue to pursue all other routes at the same time, eg waiting lists, appeal etc.
It is also worth keeping in communication with your preferred school, so they know where you are up to, and could provisionally start to think about what support they will need to put in place for her.
Good luck! I always felt it was hard enough having a disabled child, without this sort of unnecessary stress!