As above, you would need firm evidence from a health care professional as to what her needs are and, most importantly, why you believe this school in particular is in the best position to support her, as opposed to other schools.
Are you able to give us a bit more information as to why you feel this school is the best setting for her? Basically, they have to establish whether your case is a genuine case of this school being the most suitable for your child, or whether it's simply a case of you didn't get what you wanted so you are trying to use this as a reason for why you feel your child should go there, when in fact she would be equally ok in either school in terms of her particular health needs. I'm not suggesting that you are trying to pull a fast one, but you need to be prepared to provide full evidence to back up what you're saying as the appeals panel will hear so many similar stories and claims and unfortunately many are not genuine but are simply down to personal preferences not being met, as opposed to the decision not being in the best interests of that child. Again, I'm not suggesting people make up health needs or SEN, but it is known for people to try and use their child's needs to suit their own preferences (these are cases which don't win appeal). That school is better for my SEN child because they are Ofsted rated outstanding, as opposed to the Requires Improvement school we have been given, for example would not wash. That school has disabled access, disabled parking and is all on one level, which would be far more suitable for my child who uses a walking frame, as opposed to the school we have been given which is over 2 levels with no lifts or ramps, would be considered a stronger argument (just examples, not saying either is relevant to your particular case just saying that you need firm reasons, not just a preference or gut feeling that one would be better than another).
Without an EHCP in place, naming the school in question as the best setting for your child, I'm afraid you are unlikely to win so I wouldn't get your hopes up. Wishing you all the best with it though.