If she fights the restraint, make her stay until she calms down....do not let her call the shots, you should do it. Even just a minute after she pitches a fit, then calms down, which she will do when she figures out she cannot get off. This lets her know that you are the boss and she will be rewarded by good behavior, not bad. It sounds mean, but it is best for both of you for her to know that you will be nice if she is.
Well last night I put Momma Goat on the stand (and discovered the latch to restrain her head was broken so I just held her by her collar. Once she discovered I was trying to restrain her on the stand she had a crap fit, but I didn't let her go. She did try to get me with her horns, but by watching her closely I was able to figure out when she was about to and I just laid my forearm across her face (while still holding onto her collar) all the while petting her gently with my left hand. I kept talking to her gently and petting her with my left hand with my right hand holding her collar. As soon as she picked up her head I would move my right arm so her head wasn't restrained anymore and I would let her sniff my face. After about 20 seconds she would lower her head again and I would prepare for the horns. We did this for about 15 minutes. I did not let her off the stand until I was ready for her to get off the stand. I was dripping in sweat by the time we were finished, but I think it still went well. I didn't lose my temper and talked to her gently the entire time and I'm hoping she's starting to realize I'm boss.
When I took her out and brought the daughter in, it went a little more smoothly. I've not reached their udders yet, but I think I'll get there at some point