Processes in Microsoft 365 for setting up Office apps, redeeming product keys, and activating licenses.
When you created the invite, did you make sure to follow the steps at https://support.microsoft.com/en-us/accounts-billing/subscriptions/share-your-microsoft-365-subscription?
And did your wife perform the steps at https://support.microsoft.com/en-us/accounts-billing/subscriptions/someone-invited-you-to-share-their-microsoft-365-subscription to accept the invite and install Office?
P.S. Since you have sent multiple invites, you may have to delete some of them (see https://support.microsoft.com/en-us/accounts-billing/subscriptions/stop-sharing-a-microsoft-365-subscription), or you have used up all of your available shares.