You have to sit and feed her. I discovered this with my son. Sometimes he will, sometimes he won't. he has a weight issue, so it's an issue for me.
Don't make feeding a time for a battle. It will only lead to eating issues later on.
She probably has a problem with getting her hands dirty - and that is fine for a while. Kids get texture issues and can't sit there and say 'I don't want to touch this slimy thing, or rough thing, or cold thing or warm thing or whatever thing it is I don't know what it is I don't want to touch it at all!' She doesn't have the words and doesn't have the concepts to explain what she feels yet.
It's like not forcing feeding. She has a will. It is her own. You can try to make her do stuff, but she will constantly and consistently reassert her will (unless you do something that totally breaks down her will and that just isn't acceptable!)
My son will eat some foods some days and ignore them others. If he's had spinach 3 days in a row, he looks at it and says 'no'. I give him a choice, a bite, then a bite of something else. If he still chooses no, then I put it away.
I am the Mama, and I am responsible for making sure that he knows he is welcome to eat at our table.
In other news, I also restrict added sugars altogether (and am working on cutting out unsprouted grains, because they are just empty sugars also - why else do they have to add supplements? Sprouting allows the germination process to add nutrients to the substance). Yup, this means he has not had a bite of birthday cake in 2 years. he hasn't missed it, but you'd think from my PARENTS of all people that I was depriving him of life itself!
There is so much to diet that is given to us by the media and there is so much to learn about what is truly healthy.
Good luck making choices for your baby girl.