「家族関係に悩む」は
ーto be troubled by family relationships
ーto have trouble with one's family
のように表現できます。
例：
I have a friend who is having trouble with his family.
「家族関係に悩む友達がいる」
I have a friend who was abused by his family (in the past).
「（過去に）家族に虐待された友達がいる」
to be abused by ... で「…に虐待される」
ご参考まで！
"I'm having family issues."
"I'm struggling with my family situation."
"I'm going through some family problems."
"My relationship with my family is complicated."
"I have a difficult relationship with my family."
"I'm not on good terms with my family."
・I'm having family issues.
「家族のことでいろいろあって…」の万能表現です。
・I'm going through some family problems.
「家族の問題を抱えている（今ちょっと大変）」という感じです。going through は「今まさに経験している」ニュアンスが出ます。
カナダ 
アメリカ合衆国 
