hello am studying for my upcoming exam and am struggling with these sample question Can you help?

Zelda is a Hollywood movie star wanting to buy recreational property. She describes her specifications to Craig and asks him to make an offer to purchase if he finds a suitable property. She asks him not to divulge her identity. Craig finds an ideal property and makes a written offer in his own name to purchase the property for $500 000.00. The vendor signs an acceptance. Zelda suffers a financial setback and refuses to go through with the contract.

Under the principles of agency law, whom can the vendor sue and why?