The Prophet (s) said, “Oh Fatima, verily God is angry when you are angry.” Al-Sawaiq Al-Muhariqa, p. 175; Mustadrak Al-Hakim, Chapter on the Virtues of Fatima; Manaqib Al-Imam Ali of Ibn Al-Maghazali, p. 351. Is this hadith correct?? and what does it mean.

That's authentic. It's mean Fatima s. a is the symbol of haq