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You will need to recover your Apple ID password, for your iPhone to become accessible again, I think.
is where to begin, but also, you can read instructions on what to do and what to expect and how to assign/choose things, on this page:
Note that you will have to have access to your 'primary or rescue email address'... to receive an email with verification code, or similar.
This may prove difficult if you are traveling.
NOTE: If your wife's device is the only one you have, then do not reset her password! or ID! or you will lose access to her device too.
It might be best to undertake this process at a library branch computer.