、。
When it comes to making Chinese food, no one can surpass her.
Literal
Chinese-food [object-を] make [when it comes to-にかけては], her right [to-に] emerge person [topic-は] not-exist.
Two notable expressions intersect. ~にかけては ('when it comes to') isolates the domain of excellence. 右に出る者はいない ('no one stands to her right') is an idiom meaning 'no one can surpass/outdo (someone)' — rooted in the traditional seating hierarchy where the right side was the position of honor. Together they create a strong superlative statement.