You are just going to have to milk the unused teat. Tie her up very short and restrain her any way you can. She is going to have a temper tantrum and throw a hissy fit. That is a given. You just have to be more stubborn than she is.
Either tie the doe up very short or put her in a milking stand. You are going to have to restrain her one way or the other. Do you have a clipping stanchion or something? You are just going to have to milk her out whether she pitches a fit or not. She will eventually get used to it. Will the...