bot my girls have been the same.
although weirdly, neither would keep socks on as babies - d1 in particular, was a horror for kicking off blankets, socks, etc, and then sticking her feet up on the bumper bar on he buggy - in the middle of winter 
. the 
and [frown] (we really need that emoticon!) looks I got form little old ladies...
but as soon s she got shoes - there was no looking back, and no possibility of not wearing shoes.
same with dd2.
they would both scream and scream if eg shoes were downstairs and I tried ot get them to go down first thign in the morning to put them on - shoes had to come to them, not other way around!
take it slowly. don't push it.
you could try working on her sensitivity, with eg massage, or tickles, and building up form there (we did this with dd1, for both hands and feet, with a lot of success)
my girls are 6 and 4 now, and can manage a few different situations now - eg no shoes when swimming (I had ot buy dd1 beach shoes for ages, as the concept of no shoes was too much for her!)
dd2 has recently run around in the garden a bit barefoot. and both went barefoot in the house the other evening - I was 
agree with Marne re: the kicking. might be a useful way to try to get that under control.