My intrauterine device is already in place. Pills might lose effectiveness because digestion runs more slowly. Is it likely they'll bring up other approaches that fit your needs? Rings placed inside the vagina, an injection that isn't meant for extended use as far as I remember, another intrauterine device, an implant, or barriers used by either partner also come to mind.
Which birth control approach are you using? The doctor won't prescribe the pill for me. She suggests using condoms during the four weeks when I raise my Tirz amount.