A Letter of Intent is a written document that outlines a preliminary agreement between two parties regarding the terms of a potential purchase or other transaction. The two parties can settle on certain terms while agreeing to continue to negotiate the other terms and details of the transaction before actually signing a purchase agreement.
Also, her closing call to action sounds more like a threat. You want to leave the reader with an avenue for follow-up, but don't intimidate them into responding. After all, they're not obligated to respond. You want to make them want to reach out to you for more information or next steps.