I believe you can't make those kind of assumptions regarding a player that isn't even in the top 100.
You first have to ask if a player can be a potential top 30 or top 20 player, and then, when she does get there, you can start to assess if she can be # 1.
Being # 1 is not that easy, only 9 players since the computers rankings exist have achieved that, so, by no means you can ask this question now.
You can ask if R. Vinci will be good, if she has potential, but # 1?
I saw her in person at the Canadian Open, and she did impress me, she serves and volleys (but she is not a serve and volleyers alla Novotna), she has a good technique and I believe she can be good, specially on grass or indoors, but I don't see potential to be # 1, I might be wrong because as I said before, it's impossible to even think of that at this stage of her career.
You can ask if Justine Henin, Kim Clijsters, Venus Williams or Serena Williams can be # 1, but you can't ask that question about a player currently ranked 170, as I said before, I do like her game and I think she has potential, but to ask if she can be # 1 would be the same as asking if a 10 years boy that wins an election in school can be president.