The problem with 'feminism' as it were is nothing to do with the general concept (i.e, equality for women) but a lot of the things that come with it. Feminism has been a very necessary thing in the past, be it women's suffrage, the movements in the 60s and 70s and even today with regards to things like gender pay gaps and so on and so forth. Feminism is all very good until you get to the supporters.
People's views of feminism are massively skewed with the rise of extreme feminism which is not truly feminism itself, the extremists on tumblr who complain about a patriarchy and going so far as wanting more rights or special treatment over men. This is a minoirty of people who support the cause but unfortunately with the advent of an ever connected world, minorities in any regard suddenly have a very large platform on which to broadcast their views when 7 or so years ago they would have been largely ignored. It is this loud, vocal minority that unfortunately disillusion a lot of people from the feminist cause and makes people wary of describing themselves as a feminist.
There are definitely inequalities in the world, less so in developed countries such as the United Kingdom or many other European countries, especially western but they are still there nevertheless. However, when campaigning for things such as more work for female Executive Directors and other managerial positions as well as increased pay, a lot of feminists (including men who can be feminists as well) seem to miss quite a few key points and jump on a bandwagon without carefully discussing or looking at the matter.
Generally, big City corporations do not discriminate against women because this is illegal to do and there are such things as positive discrimination. The issue does not solely remain with them anymore, encouraging both sexes to go for these top positions should be the priority as positions should be allocated based on merit and race and/or gender should not be a factor. This is why I cannot assosciate myself with the cause as it were, not because I don't support it but there is this vocal minority combined with people jumping on the bandwagon that unfortunately do not do the movement any favours.
In an ideal world, we wouldn't need feminism and we wouldn't need mens rights advocates, instead we would want one group with a simple goal, equality and maybe one day we will see that. But until then, the movement for gender equality will always have the bandwagoners and the extremists.
I speak on this as someone living in the UK so my opinion may not ring true outside of here and I am certainly not against feminism.