"粗率的处理" can be translated into English as "hasty or careless handling" or "rough and inconsiderate treatment", depending on the specific context and nuance you want to convey.
"Hasty or careless handling" emphasizes the lack of thoroughness or attention to detail in the way something is dealt with.
"Rough and inconsiderate treatment" highlights a more aggressive or disrespectful approach, where the subject is not treated with the necessary care or respect.