One way to majorly disrespect your partner is to be mean or to criticize them in public, especially in front of your friends and family members. You should look at each other as a team; if you have any issues with them, you should raise them in the privacy of your own home, not in front of other people. Saying mean things to them in front of others or snapping at them in public will make them feel terrible and resent you, and it will make your friends and family uncomfortable.  If you do snap at your partner in public, make sure you apologize. Not everyone can keep their cool all the time. Instead of calling your partner names or demeaning them in public, try casually praising them and make them feel better in front of others. Along the same lines, you shouldn’t tell your friends and family all of your dirty secrets or complain about the fifty most annoying things your partner does. Though you can come to your loved ones for advice when you’re really struggling, if you get in the habit of bad mouthing your partner to others all the time, then it will make both them and your relationship look bad.  If you’re demeaning them when they aren’t not around, it shows that you don’t respect them very much. Think about it: how would you feel if your partner was always saying terrible things about you to their friends? That would feel like major disrespect towards you, wouldn’t it? Another way to show your partner major disrespect is to talk about members of the opposite sex in a disrespectful manner. Okay, so we’re all human and we can’t stop appreciating other beautiful people even when we’re madly in love; that said, if you go around talking about all the “hot girls” or “cute guys” you see, then yeah, this is bound to make your partner feel bad and is a major sign of disrespect towards them. This is especially disrespectful if you do it in front of your partner and your friends; it shows that you don’t really take your relationship seriously.  Of course, some people are much more sensitive about this kind of thing...

How would you rephrase that briefly using Chinese?
不要在公共场合贬损你的另一半。 不要在朋友面前说另一半的坏话。 不要用不为对方考虑的语气谈论别的异性。 不要等到你的感受已经累积到一定程度再无所顾忌地发泄出来。 不要把对方的付出看做理所当然。