Male coworkers wife insists on being with us whilst we study?

I am in an odd situation. My male coworker has a wife who I suspect is jealous of me interacting with her husband.

My coworker and I are professional and I am not into him and he’s not into me. I met his wife once at a work event and she seemed jealous.

Now we are starting to study together for an up a coming exam we both have (which it has been recommended to have a study partner/group). It will take place mostly via video call, occasionally face to face.

On the first call with my coworker, his wife announced that she will always be present whilst we study. This was pretty awkward. Now I know that every time we are studying she will be there in the background.

Do you guys think this is ridiculous?

Male coworkers wife insists on being with us whilst we study?
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