What will crinone (progesterone gel) do if pregnancy is not achieved?

Not much. Crinone (progesterone gel) if used during a non-pregnancy cycle would just delay the onset of the menses.
No period. It won't do anything harmful or lasting; if on Crinone (progesterone gel) you usually will not start a period even if not pregnant.

Related Questions

Heavy bleeding on progesterone gel means early pregnancy?

Not necessarily. The most common reason for the bleeding is your period. Regardless, unless your doctor instructs you otherwise, you should follow your doctor's medication instructions until the scheduled pregnancy test. Read more...