How to use a quotation as an extraneous part of a sentence?

I’ve been trying to use a quotation as an extraneous part of the sentence and wanted to see if there is any grammar convention surrounding it.

Sample sentence:

Her answer, “I don’t demand ‘new year, new supplies’ I am content with the things I have,” emboldens a teaching in judicious usage.

I want it to sound like:

Her answer, “I don’t demand ‘new year, new supplies’ I am content with the things I have,” emboldens a teaching in judicious usage.