The Parah “Aduma” must be completely red. Redness symbolizes sin. Complete redness means total sin; pure evil! And it must be a cow that had never carried a yoke. One of the worst ways to describe a Rasha is: לַﬠַיִּלְבmeaning: יִלְבּ םִיַמָשׁ לוֹעa person without the yoke of Shamayim. A red cow without a yoke, Davka the worst of the worst becomes the purifying agent to purify the worst Tum’ah??
When a person does Teshuva, his Aveiros become Mitzvos. We can suggest that the Mitzva of Parah Aduma teaches us how good Hashem is to us; and how the worst person can turn into the best, if he has with Bitachon in Hashem.
Berel and Chaya G. were having terrible problems with Shalom Bayis and stress and Parnasa, etc. When they were told to make jokes out of all their problems instead of kvetching, they started having miraculous Yeshuos!