Its good to be careful and look at all aspects before taking any important decisions of your life. Yet, nobody's true intentions can be judged without meeting or talking with them. And people can change their mind and priorities any time. Which means that she might not be hungry for your money now but she could become later. Visa versa is also true. But then, its your money and if you let her take it, its your doing not hers. You need to be watchful and smart. Nobody can dominate or outsmart you if you are smart and assertive.
Next Steps
See a counselling psychologist in your city as i suspect that you are submissive/timid by nature.
Health Tips
Many people marry for the looks but forget to judge the nature and character of their life partners. Looks and physical appearance go away with time but nature and character remains forever and influence the outcome of any relationship. I suggest that you focus on her character before judging her physical appearance.