It's also incomplete and incorrect. It was Gosling's photo, he did the work for Franklin. And she had already shared the results in a department seminar before Wilkins showed it to W&C. And she was credited for this in the W&C paper in Nature.
Watson and Crick were already working on a double helix model. The crystallographic data helped them fit the puzzle pieces and confirm the model. You're discounting all of the work they put into it.
Having a diffraction picture of DNA helps, but you still have to put all of the residues in the correct places, understand the 5' to 3' alignment, work out how replication might work...
If you were working on a theoretical model of an unknown molecule using primitive tools and somebody had data that could confirm your ideas and fix the kinks, wouldn't you want to see it so you could finish your work?
Watson, Crick, Franklin, and Wilkins were all talking to one another about their work. Franklin had dismissed Watson and Crick's previous molecular model as it was incorrect at the time. Franklin wasn't working on a molecular model of her own.
Watson and Crick were able to synthesize information from several labs and experimental sources, including Franklin's experimental data, and apply it to the problem they were directly working on in order to deduce the correct model.
Right place, right time, right problem, right context.
That Franklin died before she could win a Nobel Prize is tragic, but she wasn't the lone discoverer of DNA's structure.