Your collectible is safely stored in your wallet on the blockchain. The exact mechanics of this is more complicated - however, the simplest explanation is: your collectible can be accessed by the wallet you used to make the purchase.

For credit card payments, we recommend checking out the following article to learn more about accessing your collectible: https://help.crossmint.com/hc/en-us/articles/9612356199181-How-do-I-access-the-NFT-I-purchased-