Imagine a tracking chip has been implanted inside your head without your knowledge. Everywhere you go, you leave an indelible, retrievable record of your whereabouts.
Now imagine placing your fingers on your keyboard and typing, "In my judgement, these findings are not surprising."
Ninety percent of your readers wouldn't notice the e after the g in judgement, but 10 percent would. They would notice you used the British spelling rather than the preferred American spelling: judgment.
So what? Who cares?
It depends on who's tracking your movements.
Most people wouldn't notice. Others might notice but wouldn't care. Still others would think it a harmless error.
But maybe 10% of your readers — among them careful writers, readers and editors — would think you careless.
It isn't that your error interferes with clarity. Your meaning is perfectly clear. But it suggests you haven't paid close attention to the finer points of spelling, grammar and punctuation or to the rules of language.