I imagine what he would say is that God is not a theory or explanation, but a person. God gave us science and so science cannot disprove God. This is, at least, what he says in some of his debates.
I'm not sure how much weight should be given to the fact that Lennox considers intelligence to be evidence of design. He seems to misunderstand some basic concepts, or else he's being intellectually dishonest. He confuses atheism with naturalism, repeats the trope that Einstein believed in God, and reduces the Big Bang to "something came from nothing" while not seeming to notice that his God would also have had to come from nothing (or need a creator himself, which came from nothing). I don't see anything that sets him apart the typical apologist. Lots of strawmen, arguments from authority, and misleading rhetoric.
So, Lennox is either decades behind the current conversation or else he purposefully latches on to sophistry. Either way, I'm not sure anything he has to say is worth listening to. If you want to give me a specific argument I will consider it on its own merits, but I don't think you do any argument any favors by connecting it in name to Lennox.