No firstly, she said that her child will be calling anyone they think looks like a girl, a girl, which is a problem. She's essentially telling her son that her views on sex and gender supersede anyone else's reality. So if I am a boy with long hair, her son will be calling me a girl if he associates long hair solely with females. He will be calling any girls with short hair and a liking for physical activity a boy.
Then, instead of not answering the question, she found it appropriate to voice her socio-political views on a form. This shows that her level of self control is so low that she cannot recognise where it is appropriate to voice her views, and when she just needs to fill out a form.
When you try and weaponise your child into being your little political parrot, it is highly unfair on them and can even become abusive.