I certainly haven't used the word "intelligence" incorrectly. If you think I have, you're welcome to give the reasons you think so.
The biological cell is obviously not "designed." Look at the prokaryotes and the eukaryotes. Eukaryotic cells developed (naturally) as prokaryotic cells took other prokaryotic cells as internal organelles such as mitochondria, chloroplasts and, of course the nucleus of the eukaryotic cell itself.
As for your claims that evolution is wrong: (1) the living organisms around you reproduce by the usual means (bacteria divide, hawks lay eggs, cats give birth) that we are familiar with (2) living organisms have been doing this for millions and billions of years (3) living organisms on the planet in past times, say ten million or a hundred million or a billion years ago, were very different from the ones we see around us today (4) the living organisms alive today are descended from those earlier living organisms (5) therefore living organisms must have evolved.