These persons mostly don't answer your specific questions and don't give much personal information, but use general (predefined) text for their letters.
But if the woman starts (in an early state) with questions concerning money, for any kind of reason, than you have to be careful and you have to analyze if these questions has anything to do with the situation you and your correspondent are aware of.
For example, some web sites have over 20.000 profiles, however this is not a reason to find any scam inside this Agency, it only gives you an impression how many profiles you can find on the 'entire' web.
So, the chance is present, but if you prepare yourself in a proper way, the risk of being scammed can be reduced to almost zero.
Perhaps their introduction or 'About-Us' pages or other relevant pages could give you some background information of this specific Dating Agency, which could give you a 'good' or perhaps 'wrong' feeling about this site and their services.
Also try to find out if they are a member of the Anti Scam Program.