Yes, the theory of evolution by natural selection does indeed reject a designing intelligence. To quote Dawkins:
"[natural selection] has no purpose in mind. It has no mind and no mind's eye. It does not plan for the future. It has no vision, no foresight, no sight at all."
Feel free to go read his books.
Meanwhile, the use of the term 'Intelligent Design' that everyone uses in the modern day is part of a concept that, as I say, specifically rejects natural selection, and therefore is completely incompatible with evolution.
Like I say, it has only been created as part of a plan to say that there is objective evidence for a higher being. That is literally the reason why ID exists today. As 'God uses evolution as a tool' does NOT fit into that, because that would not be showing any such evidence, Intelligent Design as a concept today would not eixst if that was what was being proposed. It's very existence therefore shows your error.
Any other use of the term is a complete waste of time, because it is not what anyone else is talking about- anyone else important, I mean. Which is to say, the media, the scientists, the religious proponents, the courts and the Government.