"Peaceful" is the wrong word. Your sentence uses the adjective "peaceful" to describe the noun phrase "to ignore everything that annoys you". It doesn't work. Here are some adjectives (or adjective phrases) that work to describe that noun phrase: "peace giving", "relaxing", "calming", "soothing". For contrast, here are some nouns (or noun phrases) that can be described by the adjective "peaceful": a beautiful scene a country not at war a day with no worries

The grammar is fine, but you might express your thought more clearly if you worded it differently. I would suggest: Ignoring everything that annoys you allows you to find inner peace.