Q1: What happens if this card's Main effect is given to a Digimon that activated a "this Digimon isn't affected by your opponent’s effects until the end of your opponent's turn" effect?
A Digimon with a "this Digimon isn't affected by your opponent’s effects" effect can also be chosen as a target for this effect, therefore your opponent's Digimon will be affected by this card's effect as soon as it loses the "this Digimon isn't affected by your opponent’s effects" effect. As a result, it's deleted at the End of Your Turn timing.
Phantom Pain EX6-070 U [Main] Until the end of your opponent's turn, 1 of their Digimon gains "[End of Your Turn] Delete this Digimon." Then, place this card in the battle area. [End of Opponent's Turn] If you have a Digimon with [Lilithmon] in its name, <Delay> • Delete 1 of your opponent's unsuspended Digimon. --- [Security] Delete 1 of your opponent's unsuspended Digimon.
Phantom Pain EX6-070 U [Main] Until the end of your opponent's turn, 1 of their Digimon gains "[End of Your Turn] Delete this Digimon." Then, place this card in the battle area. [End of Opponent's Turn] If you have a Digimon with [Lilithmon] in its name, <Delay> • Delete 1 of your opponent's unsuspended Digimon. --- [Security] Delete 1 of your opponent's unsuspended Digimon.
Phantom Pain EX6-070 U [Main] Until the end of your opponent's turn, 1 of their Digimon gains "[End of Your Turn] Delete this Digimon." Then, place this card into the battle area. [End of Opponent's Turn] If you have a Digimon with [Lilithmon] in its name, <Delay> • Delete 1 of your opponent's unsuspended Digimon. ---
ファントムペイン EX6-070 U 【メイン】相手のターン終了まで、相手のデジモン1体に「【自分のターン終了時】このデジモンを消滅させる。」の効果を与える。その後、このカードをバトルエリアに置く。【相手のターン終了時】名称に「リリスモン」を含む自分のデジモンがいるなら、≪ディレイ≫。• アクティブ状態の相手のデジモン1体を消滅させる。 --- 【セキュリティ】アクティブ状態の相手のデジモン1体を消滅させる。