Not to say the flower is false, but the article linked to might not be the best source, if I correctly remember that
The Sun is a tabloid. The next few sources on the first page of Google do not inspire much confidence either.
In regards to something in nature not being coincidence, a purpose for design does not necessarily require an "intelligent designer," but as some naturalists argue may be the result of "blind necessity," as driven by the mechanism of evolution. Of course, some might in turn argue that an intelligent designer put in motion the mechanism of blind necessity.
In any case, as example of how the mechanism of blind necessity may work, before a fully-developed eye might be a much less developed apparatus that allows something to see snippets of light, but this alone may provide enough of an advantage for say surviving against predators over those without the apparatus that the apparatus remains and develops for further advantage (over those with a less developed version of the apparatus), as the predator also adapts to better deal with something that has a more developed apparatus for seeing light.
Some might say that the fully-developed eye is a quite beautiful and necessarily complex apparatus, such as those men trying to court women, or vice versa. And as mentioned in the
Internet Encyclopedia of Philosophy, naturalists such as William Derham have seen the eye as an apt example of intelligent design. Less devout naturalists may see issue with the argument, pointing out such potential problems as the unnecessary backward wiring of the human eye.
Whoever is right, there is apparently much that can be said not only for intelligent design but blind design for more common but no less wondrous features of a human and the rest of nature.