"Stands there" implies that the angry word is present after it has been spoken on account of its severity. It leaves a strong impression on those who have heard it.
As such, I would offer the word "looms" as a synonym that can replace the phrase "stands there" in your passage. Looms has the sense of being ominous and weighty like the impact of the angry word.
looms: To rise before the vision with an appearance of great or portentous size.
"Vision" seems to imply that for a thing to loom it must be visible, but a google search returns examples of "loom" being used to describe an idea or thought.
- "If no vast and terrifying power of evil loomed in our minds..." [The Prince of Darkness: Radical Evil and the Power of Good In History]
- "Loss of prestige also loomed..." ["Evil People": A Comparative Study of Witch Hunts in Swabian Austria"]
The sentence with the synonym would read:
It is much harder to deny having said an angry word. It looms, easily repeated back, hard to disavow totally.