Experienced web designers have factors they consider when evaluating potential clients. Sometimes a single factor can be enough for a web designer to reject you as a client. You won’t know the factors ahead of time, as each web designer has his or her own criteria.
I certainly don’t specify these constraints on my website, but believe me – I have them in mind every time I speak with a potential client. Sometimes the answer to a single question is enough to rule out the possibility of working together. Sometimes I just get a bad feeling about the person, based on their communication skills (people have been very rude to me on the phone!), or their inability to clearly articulate their business objectives.
Some designers prefer to work only with local clients or clients located in the same time zone. Some do not take on maintenance work for websites they did not design or create. Some do not take on work for certain types of organizations – such as religious or politically-based organizations. Some are unwilling to work on websites using specific techniques or implementation methodologies.
A web designer that is desperate for work will take any clients that come along. However, if the designer you are talking to is capable, qualified, and in demand, he or she can afford to be choosy. And if the designer has the option of choosing which clients to take, he or she will use it.