She could also try to reason with the Death Eater. Hermione is known for her intelligence and ability to think on her feet. She might try to appeal to any sense of humanity the Death Eater might have, reminding him of the consequences of following Voldemort's evil path.
Over time, if she couldn't immediately escape, Hermione would try to influence the Death Eater. She would use her knowledge and strong moral compass to show him the error of his ways. She might start by having debates with him about the Dark Arts and the ideology of the Death Eaters, hoping to make him see the light.
In a fanfiction scenario, perhaps the Death Eater has a change of heart when he sees Hermione hiding. He could be secretly against Voldemort's ways and decides to help her. They might form an unlikely alliance, with the Death Eater protecting Hermione from other dark wizards. Or, the Death Eater could be under a spell or curse that makes him act differently when he encounters Hermione, leading to a very strange and unexpected encounter.
She might react with caution at first. Given that Death Eaters are known for their cruelty, Hermione would be smart to be on her guard. She would likely start by gathering information about the escaped Death Eater, like his known abilities and any possible weaknesses.
Hermione would likely try to outwit them. She has a sharp mind. She might use her knowledge of magic, both dark and light, to find ways to counter the Death Eaters. For example, she could use spells that they wouldn't expect or find loopholes in their dark magic.
Good ones often have strong characterizations. Hermione should remain true to her intelligent and brave self, while the death eater should have a well - defined personality, perhaps with some redeeming qualities. For example, in some stories, the death eater might be conflicted about his dark allegiance when he meets Hermione.
Hermione would use her vast knowledge of magic. For example, she could use concealment charms to hide the Death Eater from other Death Eaters who might be looking for him. Also, she might use polyjuice potion to disguise him if they need to move around in public.
There's also 'The Unlikely Bond'. In this fanfiction, the relationship between the death eater and Hermione is explored in a very detailed way. The author does a wonderful job of creating tension and drama as they interact. It's a must - read for fans of this kind of story.
In this type of fanfiction, the relationship between Hermione and the Death Eater could be very complex. Maybe it starts as a hostile one, but as the story progresses, they might find some common ground or mutual understanding. It could also be a story of redemption for the Death Eater through Hermione's influence.
It might be portrayed as a tense encounter. Hermione would be on her guard, ready to use her magic if necessary. The Death Eater, on the other hand, could be sneering and full of dark arrogance.
She could be angry. Hermione is used to being in control of situations through her knowledge and planning. Having a Death Eater surprise her disrupts that. So she might feel angry at the intrusion and at the threat this Death Eater poses to her safety and the safety of those she cares about. This anger could fuel her actions in the encounter, making her more aggressive in her defense.