Thank you for sharing your question with the EmpowHER community.
Birth control pills or other types of hormonal medications are a common medical treatment for Amenorrhea (the absence of menstrual period). Clomid - Clomiphene citrate (CC) is used to relieve symptoms of PCOS (Polycystic Ovary Syndrome) and is prescribed to help trigger ovulation.
Outside of birth control pills and Clomiphene citrate there is ERT (Estrogen Replacement Therapy) which is used to balance hormone levels and restart menstrual cycles.
With regards to it taking longer to get pregnant after taking birth control pills, there is no solid evidence to support that. Remember, every woman's hormonal make up different and her body will respond differently when hormones become imbalanced.
There are some surgical procedures for amenorrhea, but they are not common and are not recommended for some conditions.
Discuss with your doctor, why birth control pills were selected as a treatment for you and find out if you are a candidate for any of the other options.
I hope this helps.