It will take time to develop a bond with this bird and like it was said you have to earn her trust, a grey won't be rushed into anything so if you are prepared to take some time to allow this relationship to happen then by all means do so. A bird is not like a cat or dog that will be friends right off the bat for they are domesticated animals, greys are wild animals and have to come to trust you with consistent behavior on your part.
Sit by her cage and talk to her softly, read the newspaper or magazine to her and let her see you are not forcing anything on her, offer her treats and allow her to come out of her cage but if when you approach her she goes to bite you then you know you need to back off, using her beak to bite is the only way she can tell you she is not comfortable with what you are doing so do not take the bites personally.
The other members of your household should back off for right now and let her settle down and then they can offer her treats and do the same things you are doing to develop a relationship with her. Some greys tend to favor one person over another and that may be the case here but that doesn't mean she will never accept them but maybe just differently.
Give it some time will you for one week is not nearly enough to gain the trust of a just weaned baby much less an adult grey.