I am going to explain to my wife that she will regret making the decision to not have kids.
Is there a reason specifically why you think she will regret it?
She might want them in the future and be unable to have them.
It is mean to tell someone they will regret not having kids. If you want kids you should find someone else to have them with.
I bet she will for sure want them. She's not smart enough to know what she will regret. She doesn't even have a degree.
It just does not seem like you worded this in a very sensitive way when you said it to your wife. Urging your wife to think about the future before making the decision is fine, but belittling her and making her feeling foolish for the decision is not the best way to go about it. Just make sure you are voicing your opinion in a respectful manner.