It could be a problem if a person is intimated by intelligent women. In the long run that can ruin future relationships and potential friends and make life very difficult. It would become hard to be around successful women in the work place creating an uncomfortable atmosphere for you and the other people involved.
It's not wrong to be intimidated by other successful people. It's when the fact that they don't have a penis makes you somehow more intimidated, or really, surprised, that it's not okay. Myself, I'm intimidated by anyone that might be more intelligent than me. In that sense, it's more of a thought of respect than a thought of distaste.