A sexually-transmitted infections can cause the next cycle to be abnormal. In addition if you were having unprotected sex and this is the same partner that you received chlamydia from it's important that he was treated as well as any of his sexual partners.
Are you sure that you are allergic to latex.? Many women who experience sensitivity to nonoxynol nine, a spermicide
in some condoms. Please check with your local doctor to confirm that you're truly latex allergic because if you're not then condoms provide protection against many sexually transmitted diseases including ones that can't be cured.