Shared Apple ID

Apple IDs are personal; they shouldn’t be shared any more than you would share a toothbrush. If you share an Apple ID with someone else many bad things will happen. Each user should have their own Apple ID, then you can create Family Sharing→What is Family Sharing? - Apple Support. That way you can share what you want to share and not share what you don’t want to share.

It is OK to share an Apple ID among devices used by one person, such as an iPhone, an iPad and a Mac; in fact, it is a very useful thing to do. But not between devices used by different people.

Here is Apple’s FAQ: https://appleid.apple.com/faq/#!&page=faq. See the 4th bullet item.

And here is Apple's expansion of what I've posted→Make sure that each family member has a unique Apple ID - Apple Support

As long as you share the same Apple ID, not only will your apps appear on your wife's iPhone, but she can access you text messages, and your other data as well. If you don't want this to be the case, DON'T share an Apple ID.

You can set up family sharing between Apple ID's but it is not reccomended to share personal Apple ID's

See this on how to set up family sharing

Family Sharing - Apple

Stop sharing an ID. They are not meant to be shared. you each need your own.

Family sharing apple id