You are most likely rushed, trying to prepare for the special occasion that allows you to bring out your favorite pair of cufflinks, so ill make this short!
Where Do Cufflinks Go?
Cufflinks go into the button-less buttonholes on the sleeve cuffs of your dress shirt.

Cufflinks are worn with dress shirts that have French cuffs or double cuffs. These cuffs are designed without buttons and instead have buttonholes on both sides. Cufflinks fasten the cuffs together, creating a stylish and polished look.
Remember that cufflinks should be positioned horizontally when worn. The decorative part of the cufflink, often featuring a design or precious metal, should face outward and be visible when your sides relax your arms.
FAQ
Cufflinks go on your dress shirt, on the cuff of the sleeve where the buttons would be.
Generally cuff links are only put on shirts with French cuffs or double cuffs.
You can make a new whole by DIY or taking your shirt to a tailor if you want to wear cufflinks on a shirt with buttons.