Here’s an entry by Philip Quinn from the Cambridge Dictionary of Philosophy (1999). Note especially the second paragraph — the problem is not Hume but Darwin:
The starting point of teleological arguments is the phenomenon of goal-directedness in nature. Aquinas, e.g., begins with the claim that we see that things which lack intelligence act for an end so as to achieve the best result. Modern science has discredited this universal metaphysical teleology, but many biological systems do seem to display remarkable adaptations of means to ends. Thus as William Paley (1743-1805) insisted, the eye is adapted to seeing and its parts cooperate in complex ways to produce sight. This suggests an analogy between such biological systems and human artifacts, which are known to be products of intelligent design. Spelled out in mechanical terms, the analogy grounds the claim that the world as a whole is like a vast machine composed of many smaller machines. Machines are contrived by intelligent human designers. Since like effects have like causes, the world as a whole and many of its parts are therefore probably products of design by an intelligence resembling the human but greater in proportion to the magnitude of its effects. Because this form of the argument rests on an analogy, it is known as the analogical argument for the existence of God; it is also known as the design argument since it concludes the existence of an intelligent designer of the world.
Hume subjected the design argument to sustained criticism in his Dialogues Concerning Natural Religion. If, as most scholars suppose, the character Philo speaks for Hume, Hume does not actually reject the argument. He does, however, think that it warrants only the very weak conclusion that the cause or causes of order in the universe probably bear some remote analogy to human intelligence. As this way of putting it indicates, the argument does not rule out polytheism, perhaps different minor deities designed lions and tigers. Moreover, the analogy with human artificers suggests that the designer or designers of the universe did not create it from nothing but merely imposed order on already existing matter. And on account of the mixture of good and evil in the universe, the argument does not show that the designer or designers are morally admirable enough to deserve obedience or worship. Since the time of Hume, the design argument has been further undermined by the emergence of Darwinian explanations of biological adaptations in terms of natural selection that give explanations of such adaptations in terms of intelligent design stiff competition.