Bismihi ta'ala

If all other shar'i requirements are met, yes, she can marry that man.

The marriage proposal must take its normal procedure, primarily around the parents giving their consent and their blessings. This is the most important part. 

A second important step is to see the character traits of the person, their moral standards, their family, compatibility, etc.

A third step to take is seeking consultation and advice, trying to find out if this prospect marriage is a good idea, and the obstacles they might face. This is necessary for any case of marriage, Muslim born, or convert. 

Both of them should study this from all its angles, for the sake of making the right decision and having a successful marriage. 

With prayers for your success.