Levaquin is effective
for about 90% of
gonorrhea infections but not all and,
for that reason, is no longer recommended
for gonorrhea. My advice would be that, rather than take chances that she was cured by the levaquin, your wife needs to at least be tested for gonorrhea at both the throat and the cervix (genital tract) and treated for exposure, probably with the same medicines your received which, I suspect, were ceftriaxone (the shot) flagyl (the 4 pills) and doxycycline.