Who cares about the attention whores?
Is that your definition of any woman who decides to have a career outsiablede of tennis. You sure win the 'Stupid Comment of the Month' award.
Now, in response to what was, after all, a reasonable question from the thread starter ....
That's a really tough question to answer. First, you'd have to know the player's ambitions. It's easy with Venus and Serena, since they do things besides playing tennis. But what do we know about most player's ambitions? How many of them want to be lawyers, or geologists, or teachers?
And for the one's who's ambition are to be great Moms, we aren't going to know til their kids grow up is they were successful.
I'd call 'successful' being known for something bigger than their tennis career. For example, former President of the USA Gerald Ford was a two time All-American football player. (Actually, it was called All-American back then, but it was national recognition.) He went on to a life that made his sports success seem trivial. Ditto Suprem Court Justice Byron 'Whizzer' White. Of course, sexism being what it is, it's been tougher for women to make a mark post athletics.
But Donna De Varona, for example, helped found, and was the first president of, the Women's Sports Foundation, and helped Title IX get passed, which opened up sports to millions of American girls. I'd call that being 'successful', post her swimming career. As for tennis players, outside of BJK, can't speak much for the USA players. You'd have to ask somebody else about SOuth American or European or Asian players.