Its difficult as it is one of those things that probably had a lot of provate implications more than publics ones.
Diana, I doubt would have married Dodi - simply because he was a summer fling no more. She would have married, as I don't think that she is one of those women who stays unmarried for long. Nothing personal but she might have been on her third.
She would probably married actors - possibly American, obviviosly someone big so we are looking at Brad Pitt and Tom Cruise here. She wouldn't have picked someone below her. Diana was thinking of doing tv, possibly modelling so she might have signed a deal with Revlon, or Dior or one of the fashion houses.
She would probably have became a UN ambassador, might have had more kids, or adopted.
I doubt she would have stayed long in one place, maybe kept a house in England, another in France, USA or South Africa. She would have completely moved around, a lot.
Whether this life would have brought her happiness and fulfilment is another question, she might still have been a lost soul.
Others: Princes William and Harry would have been the most affected. They would probably have not been as spoiled and as mother cuddled as they are. I doubt they would have played polo and hung around in posh clubs drinking, if anything else. As soon as Harry looked at a cannibis cigarette, Diana would probably have pulled him over her knee. I doubt Harry and William would have even thought of drink, drugs and the high life if Diana was still alive. She wouldn't have allowed them to have spend so long a time on gap years and holidaying in the commonwealth. She would possibly have made them come with her on her UN work, simply to keep them out of trouble.
Of course, the press blackout would never have happened and other things that the royals would have prefered not coming out about William and Harry would have filled newspapers. So public opinion of the Princes would be radically different.
Prince Charles would have married Camilla regardless. Diana however would have appeared on Larry King or somewhere else, saying how happy she was, and how much she loved Camilla to pieces and than she would have secretly given other remarks to another biographer. The lives of Princess Anne and Prince Andrew would probably be about the same. Prince Edward would have been allowed to marry Sophie Rhys-Jones in 1998. She could possibly have had more children, not have had the miscarriage. A all the media attention would have remained on Diana, William and Harry, Sophie would probably still be working at her PR company, and as no media black out exisited, so would Prince Edward. Dodi Fayad would possibly have sold her story to the News of the World.
It is easy for me, to specualate upon what might have been. However it is not so, there are hundreds of other possiblities not are not at all favourably to Diana and everyone involved, even if Diana lived there is no guareentee that her life might have better.
For example, She might have gone to America, had several ill fated affairs which all appeared in the press, might have had a well publicised breakdown, financial troubles after her broker steals all her money, goes on Oprah and Larry King and becames the worst version of herself possible. She grows old, and gets pushed out of the royal lime light by William and Harry's girlfriends, wives and daughters. Until she dies one day in obscurity, and her funeral only makes the brief news on the BBC.
