Disconnect apple card family member

Co-owners cannot be removed from a joint (co-owned) account. Co-owners have equal rights and responsibilities. Either co-owner may permanently close the account by leaving account. If the account is closed by either co-owner, they are welcome to each apply for an individual account. They must still qualify financially and the closed account will still need to be paid.

https://www.goldmansachs.com/terms-and-conditions/Apple-Card-Customer-Agreement.pdf

All you can do is close your account. Neither you nor your wife will have an account, once either co-owner leaves. You’ll each have to apply, if you want to, for a new individual account. Opening a new individual Apple Card account will depend on your FICO 9 score and current credit report. The closed account will still need to be paid every month until the full balance due is satisfied.

Is your wife a co-owner or Participant?