Counter-feminism means at least a couple of things.
Firstly, "counter-feminist" is a disambiguative alternative to "anti-feminist" because it makes clear that "feminism", and not "femaleness", is the object under consideration. After all, what on earth would "counter-female" mean? It sounds peculiar and quizzical, don't you think so?
Secondly, "counter-feminism" is a phenomenologically-based thought system -- a pattern of linked observations with an evolving set of action proposals built upon those observations. Counter-feminism means to show feminism the road out of town by acting upon a body of knowledge which is efficient to that purpose.