What is the ruling of Islamic law regarding a Taraweeh Imam who intentionally distorts verses of the Holy Quran during his recitation, and refuses correction from the worshippers? Is it permissible to pray behind him, knowing this? And what is the ruling on the prayer of a worshipper who strongly believes that his Imam intentionally makes mistakes in recitation?

Your question includes several points:

1. It is unlikely that an Imam would deliberately distort the Quran, as this is a heinous sin, and could even be an act of disbelief (kufr).

2. If the Imam makes a mistake in the Tarawih prayer that alters the meaning, it is obligatory to correct his mistake, and it is not permissible to remain silent about it.

3. The Imam should not have been annoyed when he was prompted during recitation; rather, he ought to have expressed gratitude and made supplication for the one who prompted him, following the example of the Prophet, peace and blessings be upon him.