Children your daughter's age are creatures of habit. It is very common during the pre-school years for kids to get fixated on their routines and have tantrums when those routines are broken. The routines make them feel secure and disruptions can cause negative emotions that they have difficulty coping with because they don't yet have the skills to manage their emotions well, hence the tantrums.
If your daughter is smiling socially, making eye contact and otherwise interacting with familiar people in a "normal" way, it is unlikely that she is autistic. Asperger's syndrome is also on the autism spectrum and applies to children who have difficulty interpreting social cues. If your daughter doesn't seem to interact with her peers in the same way that other children her age do, it is possible that Asperger's could be a contributing factor. But other issues could also explain her behaviour: severe shyness, vision or hearing problems, etc.
If you have concerns, it is a good idea to get her evaluated by a doctor. Hopefully, you will get good news.
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