Katy Perry vs Feminism - Which has a Problem?

There was a lot of controvery when Katy Perry declared that she was not a feminist last year. After all, according to some people, feminism simply means that women should be equal to men. And it's likely that Katy Perry does believe in that, I think.

However, it's more likely that the image of feminism has a problem. For example, a brief search reveals that feminism has been associated with the following:
-women who would like to be homemakers forced out into the workforce
-the despising of traditionally feminine women
-the introduction of unilateral divorce
-man-hating and the supremacy of women over men
-the devaluation of family life
-transphobia, often of the most serious kind

In the ideal world none of these should be in any way related to feminism. Yet they are now, unfortunately. It is a problem that needs to be fixed.