That was the first time my daughter had eaten white noodles. She looked so happy.
My daughter had never eaten white noodles before. She looked like she was really enjoying them.
この場合、次のように言うと良いかと
ーThat was the first time my daughter had eaten white noodles. She looked so happy.
「娘が白い麺を食べたのは初めてだったが、とても嬉しそうだった」
That was the first time my daughter had eaten ... で「娘が…を食べたのは初めてだった」
ーMy daughter had never eaten white noodles before. She looked like she was really enjoying them.
「娘は今までに白い麺を食べたことがなかったが、とても美味しそうに食べていた」
「食べたことがない」＝「初めて食べた」という反対の言い方をして表現するのも自然ですよ。
ご参考まで！
カナダ 
