Thanks for posting this. E. cloacae is a bacteria that is rare to find in the throat as it often affects the urinary tract
system and other organ systems. Infection might or might not have been transmitted by your sex partner.
Antibiotics of choice would be gentamycin
( a cephalosporin
), azythromycin etc
It would be preferable that your partner gets treated too before you engage in another sex activity with her.
Hope this helps