Any conversation involving Watson – or his late colleague, Francis Crick – invariably leads to a discussion about the role of Rosalind Franklin in cracking the structure of DNA. This go round, Paul Coxon tweeted:
Let's club together to buy Watson's Nobel medal, melt it, and have it recast with Rosalind Franklin's name. Who's in?
The narrative of Franklin's contribution being slighted is very powerful. Many, including family, have guessed about what she would have thought. But as far as I know, Franklin was never interviewed about her reaction to Watson and Crick publishing the DNA structure before her, or using some of her data to work out the structure. She died from cancer before the Nobel prize for DNA structure was awarded, in any case.
Maybe this little incident gives a sense of whether Franklin felt wronged or cheated by Watson and Crick. When she was diagnosed with cancer (which ultimately killed her), she recuperated from her first surgery as a house guest of... none other than Francis Crick.
I've found this anecdote in a couple of biographies (here and here; excerpts below).
It's certainly not definitive proof about what she thought of the whole thing, but it might suggest that Franklin didn't consider her former competitor to be her scientific enemy.