Will I have to remove my nipple piercings for a X-ray of my head for dental implants?

for xray or CBCT it is necessary to remove when it comes in area of interest [its shadow on xray film] otherwise no need to remove metal piercing jewelry. for MRI is is must to remove all metal parts present on any part of body.

No, only metallic objects that are on / in / through your head. Since the xray is limited to your head, you will not have to remove it.