Well, there are some Basenji/Chihauhau crosses out there, so obviously they can get along. You are dealing with a mix, so how "Basenji" she is will be another factor, as may the sex of the dogs involved. Same sex aggression is pretty common in Basenjis. The experience and skill of the people who introduce them and supervise them is also important. Whether it will be advisable to leave them alone together is another question, only answerable once a relationship is established.
Any chance you can "borrow" this girl before making a commitment?
"In order to get along with a Basenji, you have to be at least half as smart as the dog!"