She should find a better doctor or a better liar to write her book since her claim is bogus.
"Antibody tests ("Rapid" tests) give a positive result based on antibodies to HIV, not the virus itself. It takes your body up to 3 months to produce these antibodies at levels that can be detected by this test. 12 weeks (3 months) after infection, about 98% of people will have enough antibodies to test positive."
RNA tests can yield a positive result in 9-12 days. But, they are much more expensive.
Perhaps she could afford it.