Presumably, OP is basing the 'not needing ambulance' status on the fact that her DD has managed to have several conversations with several people.
Assuming these are the coherent, measured complaints they sound - full sentences, not panting, rational speech, not hysterical for lengthy periods - then saying 'no ambulance' is completely reasonable.
There's a tendency to think serious means emergency. Something can be very serious in the long run, needing complex treatment, without being urgent. In these cases, unless there's another reason to access that fast service, an ambulance isn't really appropriate, if there's another option.
A suspected break is a good example. If there was no impact to potentially need spinal stabilisation, no open wound, no loss of consciousness, no severe pain... then, there's not much gained from an ambulance attending, so why take one out of service?