This is a very twisted definition of feminism" that makes it all about "choice". You are confusing feminism with libertarianism.

Feminism is, or at least used to be, all about "consciousness raising", i.e. denouncing the beliefs and practices that have kept women down in various contexts, religions, cultures, even when the women themselves have embraced those social and religious values. 

Much of feminist debate has been between feminists, about which behaviors are not feminist, e.g. taking your husband's name at marriage. In Quebec. a woman's name does not change legally when she gets married. Changing it is very difficult. That is a feminist policy. Claiming it is a "choice" does not make a behavior "feminist".