I'm sorry but I'm going to go against the grain here and say your reaction to the school's concern for your DD was a bit OTT.
They do have her best interests at heart, there is nothing wrong with the SENCO seeing her and them ruling out any difficulties.
I was recpently called into my DS's school, he is 5, in yr 1, and they have some concerns about him and are having him assessed by an Ed Psych. Meanwhile he has one to one with the senco every day and has a TA in the classroom with him all morning.
This came as a shock to me. He seems a perfectly normal boy, he is, in fact, but he does find some elements of the formal school setting hard. The school haven't labelled him, they have just adapted and tweeked things so it is more accesible to him, and you know what? He has come on leaps and bounds since this was implemented.