Final answer:
Katrina has ended any possibility of a courtship with Ichabod, as indicated by his desolate departure from her home and the subsequent marriage of Brom Bones to Katrina.
Step-by-step explanation:
At the conclusion of the party at Katrina's home, it is obvious that B. Katrina has ended any possibility of a "courtship" with Ichabod. After Ichabod had a private meeting with Katrina, he left with a desolate and chapfallen demeanor, which contrasts sharply with his previous optimistic anticipation of winning her affections and envisioning a prosperous future with her. This change in his countenance suggests that something unfavorable transpired during their conversation, leading to the presumption that Katrina has rejected him.
This is further supported by the information that Brom Bones, who is described as having singularly selected the blooming Katrina as the object of his uncouth gallantries, eventually marries her. Bones's self-satisfied behavior upon hearing mentions of Ichabod after the latter's disappearance implies that he may have been involved in Ichabod's downfall or at least he believed he contributed to it.