Q: remove iPhone from mac added wifes' iPhone by mistake getting her texts

Hi cheebers,

Thank you for visiting Apple Support Communities.

If you are getting your wife's texts, I wonder if you are using the same Apple ID?

You may want to check both and also check if her iPhone is set to forward her messages to your Mac.

Connect your iPhone, iPad, iPod touch, and Mac using Continuity - Apple Support

To use Continuity for SMS and MMS with your iPhone and your Mac, iPad or iPod touch

…

Sign in to iMessage on your iPhone, your other iOS devices, and your Mac using the same Apple ID.

On your iPhone:

Go to Settings > Messages > Send & Receive > You Can Be Reached By, and add a check to both your phone number and email address.

Go to Messages > Text Message Forwarding, and enable the device(s) you would like to forward messages to.

Your Mac, iPad, or iPod touch will display a code. Enter this code on your iPhone to verify the SMS feature.

Take care,

Nubz