na-adjective, noun
obliging person; person who likes looking after others
Describes someone who enjoys taking care of others, often with a slightly meddlesome or busybody nuance.
彼女は世話好きで、いつも周りの人の面倒を見ている。
She is an obliging person who is always looking after those around her.
うちの母は世話好きだ
My mother likes looking after others, so friends often come to her for advice.
面倒見がいい focuses on being good at taking care of others, without the implication of enjoying it as a hobby or trait.
Compound of 世話 (care, looking after) and 好き (liking, fondness).