I know this sounds a bit nuts but how bout keep your kid home for 3-4 days and see how she is at home. Maybe bring over a friend as well (i know shes two but im sure you have a niece or nephew that can come over)
Its more of an experiment. If she does well, then you know that churnbaby's theory is wrong. If she has a hard time and more than just taking off her shoes and such then you know you need to work on certain personality traits with her.
(obviously this idea is a bit far fetched being that im sure you and your wife are working and you dont have days to take off, but just in case you can...).
The last option is the truth game which i personally love to play. Go to the teacher in person and say please explain to me every detail of my daughters bad days. (it can be hard for you to hear if she is truly a hard kid, but it can be very good for the teacher to realize that MAYBE she just doesnt give your daughter the proper attention and your daughter is truly just a 2 yr old who needs to be a bit more active than others). are you giving kickbacks? that usually brings up the attention span of teachers... jk