

Q1: Can I use this card's On Play When Digivolving effect to link a card that doesn't have Link?
No, you can't.
Q2: Can I process the part of the effect after "then" in this card's On Play When Digivolving effect even if the "if" condition in the 1st process isn't met?
Yes, you can process it. Even if you don't perform <Recovery +1 ≪Deck≫>, this card's On Play When Digivolving effect will give 1 of your opponent's Digimon -1000 DP until their turn ends for each of your security cards.
Lv.5 Beautymon BT23-033 R Ult./Appmon | Life | Beauty <Barrier> [On Play] [When Digivolving] You may link 1 level 4 or lower Digimon card from your trash or this Digimon's digivolution cards to this Digimon without paying the cost. [Your Turn] [Once Per Turn] When this Digimon gets linked, if you have 5 or fewer security cards, <Recovery +1 ≪Deck≫>. Then, to 1 of your opponent's Digimon, give -1000 DP until their turn ends for each of your security cards. --- <Link> [Appmon] trait: Cost 3 (Plug this card from the hand or battle area sideways into the specified Digimon in the battle area.) Link: ++4000 DPDP Link: [When Linking] Until your opponent's turn ends, their effects can't return this Digimon to hands or decks or affect it with <De-Digivolve> effects.
Lv.5 Beautymon BT23-033 R Ult./Appmon | Life | Beauty [App Fusion] [Coordemon] & [Consulmon]: Cost 0 If 2 such cards are linked together, stack the link card on top and digivolve. <Barrier> [On Play] [When Digivolving] You may link 1 level 4 or lower Digimon card from your trash or this Digimon's digivolution cards to this Digimon without paying the cost. [Your Turn] [Once Per Turn] When this Digimon gets linked, if you have 5 or fewer security cards, <Recovery +1 ≪Deck≫>. Then, to 1 of your opponent's Digimon, give -1000 DP until their turn ends for each of your security cards. --- <Link> [Appmon] trait: Cost 3 (Plug this card from the hand or battle area sideways into the specified Digimon in the battle area.) Link: [When Linking] Until your opponent's turn ends, their effects can't return this Digimon to hands or decks or affect it with <De-Digivolve> effects. Link: [Linked Together] DP+4000
Lv.5 Beautymon BT23-033 R Ult./Appmon | Life | Beauty [App Fusion] [Coordemon] & [Consulmon]: Cost 0 <Barrier> [On Play] [When Digivolving] You may link 1 level 4 or lower Digimon card from your trash or this Digimon's digivolution cards to this Digimon without paying the cost. [Your Turn] [Once Per Turn] When this Digimon gets linked, if you have 5 or fewer security cards, <Recovery +1 (Deck)> Then, to 1 of your opponent's Digimon, give -1000 DP until their turn ends for each of your security cards. --- <Link> [Appmon] trait: Cost 3 Link: +4000DP Link: [When Linking] Until your opponent's turn ends, their effects can't return this Digimon to hands or decks or affect it with <De-Digivolve> effects.
Lv.5 ビューティモン BT23-033 R 極/アプモン | ライフ | 美容 ≪防壁≫ 【登場時】【進化時】自分のトラッシュかこのデジモンの進化元から、Lv.4以下のデジモンカード1枚をこのデジモンにコストを支払わずにリンクできる。 【自分のターン】[ターンに1回]このデジモンがリンクしたとき、自分のセキュリティが5枚以下なら、≪リカバリー+1《デッキ》≫。その後、相手のターン終了まで、相手のデジモン1体を自分のセキュリティ1枚ごとに、DP-1000。 --- 〈リンク〉特徴「アプモン」:コスト3(手札/バトルエリアから、このカードをバトルエリアの指定のデジモンに横向きで差し込む) リンク: +DP+4000DP リンク: 【リンク時】相手のターン終了まで、このデジモンは相手の効果で手札/デッキに戻らず、≪退化≫の効果を受けない。