Answer:
In it, Luke says that his father has bought the farm, and he proposes marriage to her. She is insulted by the proposal, thinking that Luke is suggesting that he can buy her along with the farm. She tears the letter to bits and bursts into tears.
A week after Rachel leaves, Lyddie finally reads Luke's letter. In the letter, Luke tells her that his father is buying the Worthen farm himself. Then, he shocks her by writing that he longs to become the owner of the farm, with Lyddie as his wife (if she will have him). Lyddie, however, is outraged by his presumption.