How does Serena try Offred out before she suggests her solution?

When she returns home, she notices that Nick's hat is askew - the sign that the Commander wishes to see her alone. She walks through the garden and sees Serena Joy, who tells her to hold her wool while she winds it. Offred thinks about knitting. Serena Joy asks Offred whether anything has happened yet, and Offred tells her "no".

Serena Joy tells her that she can help her by arranging for another man to try. She tells Offred that Ofwarren's baby was conceived with a doctor. She tells Offred that she was thinking of asking Nick to try to help her conceive, and Offred realizes just how much Serena Joy wants a baby. Offred agrees to the plan, and in return Serena Joy tells her that she will try to show her a picture of her daughter. Then she gives Offred a cigarette, and tells her to go find herself a match.