Understanding Allusion: Emma Woodhouse

In many literary texts, allusions serve to deepen the reader's understanding of themes and characters by connecting them to broader cultural or historical contexts. Consider the following excerpt from a contemporary novel where the protagonist reflects on her struggles, drawing a comparison to a famous literary figure:

'Like Emma Woodhouse, I have tried to play matchmaker in a fractured world, believing I can orchestrate happiness for others even while I am lost in my own discontent.'

This passage draws an allusion to which of the following literary figures, and how does this allusion enhance the meaning of the protagonist's struggle?