Sometimes kids just do those things because they're kids. My boys hated brushing their teeth until I got them light up tooth brushes. And both went through phases where they threw fits if their shoes or socks didn't match or weren't strapped right. The oldest shows other mild signs of Autism too, but I used to nanny autistic children and I'm not worried about him just yet. A lot of those children had siblings without autism at all that just copied what their older siblings did sometimes.

However as her mother, you're totally in your right to get her tested if that's what you feel needs to be done. Just tell her doctor "I want her tested no ifs, ands, or butts."