Q1: When I use this card's Delay effect to digivolve into a Digimon card with {{EffectLinkArchetype|ShineGreymon}} in the hand, can it digivolve regardless of its digivolution requirements?
No, this card's Delay effect does not allow ignoring digivolution requirements, so you can only digivolve into a card that meets the digivolution requirements.
Q2: When I use this card's Delay effect to digivolve 1 of my Digimon into a Digimon card with {{EffectLinkArchetype|ShineGreymon}}, what area does the card with {{EffectLinkArchetype|ShineGreymon}} come from?
It comes from the cards in your hand. This card's Delay effect has been changed to "1 of your Digimon may digivolve into a Digimon card with {{EffectLinkArchetype|ShineGreymon}} in the hand without paying the cost." Please see the notices regarding changes to the rules/rulings on the official website.
Awakening of the Sun BT17-099 U [Main] You may play 1 [Marcus Damon] or [Rhythm] from your hand or trash without paying the cost. Then, place this card in the battle area. [All Turns] When one of your Tamers is deleted or returned to the hand, <Delay> • 1 of your Digimon may digivolve into a Digimon card with [ShineGreymon] in its name in the hand without paying the cost. --- [Security] You may play 1 card with [Marcus Damon] or [Rhythm] in its name from your hand or trash without paying the cost. Then, place this card in the battle area.
Awakening of the Sun BT17-099 U [Main] You may play 1 [Marcus Damon] or [Rhythm] from your hand or trash without paying the cost. Then, place this card in the battle area. [All Turns] When one of your Tamers is deleted or returned to the hand, <Delay> • 1 of your Digimon may digivolve into a Digimon card with [ShineGreymon] in its name in the hand without paying the cost. --- [Security] You may play 1 card with [Marcus Damon] or [Rhythm] in its name from your hand or trash without paying the cost. Then, place this card in the battle area.
Awakening of the Sun BT17-099 U [Main] You may play 1 [Marcus Damon] or [Rhythm] from your hand or trash without paying the cost. Then, place this card in the battle area. [All Turns] When one of your Tamers is deleted or returned to the hand, <Delay> • 1 of your Digimon may digivolve into a Digimon card with [ShineGreymon] in its name in the hand without paying the cost. --- [Security] You may play 1 card with [Marcus Damon] or [Rhythm] in its name from your hand or trash without paying the cost. Then, place this card in the battle area.
日輪の覚醒 BT17-099 U 【メイン】自分の手札/トラッシュから、「大門大」/「リズム」1枚をコストを支払わずに登場できる。その後、このカードをバトルエリアに置く。 【お互いのターン】自分のテイマーが消滅したときか、手札に戻ったとき、≪ディレイ≫。 • 自分のデジモン1体を名称に「シャイングレイモン」を含むデジモンカードにコストを支払わずに進化できる。 --- 【セキュリティ】自分の手札/トラッシュから、名称に「大門大」/「リズム」を含むカード1枚をコストを支払わずに登場できる。その後、このカードをバトルエリアに置く。