I have now started going into the field about 3 times before I intend to bring her in and take her a treat. This does seem to halt the kicking, but I was told I am rewarding bad behavior.
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I'm a little confused on this one. If by going out 3 times before you actually bring her in seems to halt the kicking at you, you are in no way rewarding a bad behavior. The bad behavior is the kicking or running from you. You are rewarding the good behavior when you go out and give her a treat and she doesnt do the bad stuff you don't want. Ponies are very stubborn and she probably feels that everytime you go in to her space,, you are taking her out of where she wants to be. It sounds to me like she doesnt respect you. How long have you had her?? Have you shown her she can trust you. Sometimes trust can take awhile. Do you feed her any grain??? Maybe instead of going out to the pasture to take her inside, you could take her out and give her a bit of grain. Something yummy. Do you spend time with her out in the pasture? I became part of the scenery with ours. They are so used to me walking around the paddock and walking up to them, petting them, talking to them and wanting nothing more than that. If I shake the halters, they come whinning. They know that if I take them out, they get brushed, grained, taken for a walk etc.... I also would say, that if you intend to run her, make sure its not in a huge area. She will only get whats she wants in the end. You on the other hand will only get frustrated and tired. I would do something like that in a dirt pasture that is not very big at all. Like a round pen or small paddock. Good luck and be patient. She will come around but make sure you spend alot of time getting to know her and her to know you.