What punctuation is missing in the sentence 'I like to fly my kite on windy, warm days replied Jessie'?

The correct punctuation that is missing in the sentence is quotation marks. This is because the sentence presents a direct quote from Jessie, indicating that it is her exact words being reported. In writing, when someone is quoted directly, quotation marks are typically used to enclose the spoken words to clarify that these are not the writer's words, but the person's being quoted.

In this case, the sentence should have quotation marks around "I like to fly my kite on windy, warm days" to accurately represent that Jessie is speaking. This addition communicates to the reader that these are Jessie's sentiments being conveyed, thus making it clear that she is the source of the statement.

The absence of quotation marks in direct speech can lead to misunderstanding about who is speaking and the nature of the dialogue. Therefore, adding quotation marks is essential for proper punctuation in this context.