Yep, i'd go with 2 minutes at a time and see if she'll eat a goody for you. If she'll eat, i'd say she's giving mommy a serious guilt trip.
If she won't eat, she's definitely scared. Use a piece of string as was suggested and just hold her or sit where she's comfortable. Walk around with her like nothing is wrong, no big deal, everything is normal. Only push her for as long as she's doing well. End the session on a good note and do it maybe twice a day.
Don't tell her to come before putting it on, just go get her so she doesn't make any associations. Don't ask her to do anything with it on yet either. Try to distract her so she doesn't think about it and do something fun! She'll get used to it soon enough.
