The Great Gatsby, to come out to you

I'd like to know the meaning of "to come out to you" in the following excerpt from the first chapter from The Great Gatsby:

This was untrue. I am not even faintly like a rose. She was only extemporizing but a stirring warmth flowed from her as if her heart was trying to come out to you concealed in one of those breathless, thrilling words.

Thank you.