Even though I'm older than you, please don't hesitate to talk to me.
Even though I'm your senior, don't feel as though you can't speak with me.
ーEven though I'm older than you, please don't hesitate to talk to me.
「あなたより年上だけど、私に話しかけるのを遠慮しないでね」
I'm older than ... で「私は…より年上です」
to hesitate で「ちゅうちょする・気兼ねする」
ーEven though I'm your senior, don't feel as though you can't speak with me.
「あなたより年上だけど、私に話しかけれないって思わないでね」
senior で「年上で・古参の」
as though で「〜かのように」
ご参考まで!