Because I help out at a health center, I was told quite a long time ago that I would get priority in receiving a vaccination if there are any cancellations from the general public. However, my turn has not come yet.
ご質問ありがとうございます。
"Because I help out at a health center"=「保健所で手伝っているので」
"I was told quite a long time ago that"=「私はかなり前に~と言われた」
"I would get priority in receiving a vaccination"=「ワクチン接種を優先される」
"if there are any cancellations from the general public."=「一般の人達からのキャンセルがあった場合」
"However, my turn has not come yet."=「しかし、私の順番はまだ来ていない。」
ご参考に。