。
She quickly denied the story.
Literal
She [topic-は] hurriedly that talk [object-を] denied.
その話 is one of those flexible nouns that the context disambiguates: depending on the setting, 話 can be 'a story, a topic, a rumor, a proposal, a conversation, the matter at hand.' Here paired with 否定する ('to deny, to refute'), the most natural reading is 'rumor' or 'allegation' — something that could plausibly be denied. The 急いで marks the denial as quick, almost reflexive, suggesting urgency or perhaps a touch of guilt: someone who calmly answers a charge doesn't usually rush to dismiss it.