Jocasta VS Loki

Hello DMR Team,
Can you please address this interaction with Jocasta, Patterned After Janet vs Loki, Loki Laufeyson.
Jocasta, Patterned After Janet
The first time each turn Jocasta would be dealt damage, instead deal that damage to the opponent.
Loki, Loki Laufeyson
While Loki is active, once per turn you may pay
to deal 1 damage to a character die. That character die loses all of it's abilities until the end of turn. You may use this ability whenever you can use a global ability.
If Loki uses his ability with Jocasta as the target does the damage get redirected? also, does the ability still happen? Does having Loki, and being the active player change the way this takes place?
Have a great day,
Shawn
Can you please address this interaction with Jocasta, Patterned After Janet vs Loki, Loki Laufeyson.
Jocasta, Patterned After Janet
The first time each turn Jocasta would be dealt damage, instead deal that damage to the opponent.
Loki, Loki Laufeyson
While Loki is active, once per turn you may pay

If Loki uses his ability with Jocasta as the target does the damage get redirected? also, does the ability still happen? Does having Loki, and being the active player change the way this takes place?
Have a great day,
Shawn