fallacy

This is where someone avoids answering the question or discussing the topic by trying to embarrass you and try to get you to defend your position. If you have other people present, then they may try to discredit you and, therefore, your message in the other hearer's eyes. They do this by trying to attack you personally instead of dealing with the topic at hand.  This tactic is known in Latin as an "ad hominem attack" ("to the man").  The other person appeals to emotions and not logic or truth. Another type of attack could be "gas lighting."

When someone argues for an unjustifiable exception to the rule or applies a double standard, they are using the "Special Pleading Fallacy".  This is a type of "Red Herring".

The first logical fallacy is known as the "red herring." The "red herring" occurs when someone is discussing a question or topic, but the other person has sidestepped it by bringing up an irrelevant topic to divert your attention. People often end up debating this alternative, irrelevant topic instead of the original one.  Often, people employ this strategy without consciously recognising it. Either the person does not think logically by nature, or it is an inbuilt defence mechanism. Otherwise, it is a cunning diversion to get you off track.