「コロナウイルスの影響で、娘の幼稚園が40日間も休園になり、中々自分の(自由な)時間が持てない為、返信はますます遅くなります」というのは My daughter's kindergarten has temporarily closed for 40 days due to the effects of the coronavirus, so it's difficult to get any free time for myself, and my replies are getting later and later と表現することができます。
例文 I've been very busy lately and I haven't been able to get any free time for myself.
「最近すごく忙しくて、なかなか自分の時間が持てない。」
参考になれば幸いです。
Due to the impact of Covid-19, my daughter's kindergarten is closed for 40 days.
I'm not able to have much time of my own, so my replies will be delayed even more.
ご質問ありがとうございます。
"Due to the impact of Covid-19,"＝「コロナの影響により」
"my daughter's kindergarten is closed for 40 days."＝「娘の幼稚園は40日間休園しています。」
"I'm not able to have much time of my own,"＝「あまり自分の時間がないので」
"so my replies will be delayed even more."＝「返信はますます遅くなります。」
ご参考までに。
Due to the impact of Covid-19, my daughter's kindergarten is closed for 40 days.
I'm not able to have much time of my own, so my replies will be delayed even more.
ご質問ありがとうございます。
"Due to the impact of Covid-19,"＝「コロナの影響により」
"my daughter's kindergarten is closed for 40 days."＝「娘の幼稚園は40日間休園しています。」
"I'm not able to have much time of my own,"＝「あまり自分の時間がないので」
"so my replies will be delayed even more."＝「返信はますます遅くなります。」
ご参考までに。
オーストラリア 
アメリカ合衆国 
