Dangers and threats, miscellaneous challenges

Hiking in the woods and stumbling across a corpse in the underbrush
Renovating a house and discovering remains hidden in the walls
Draining a lake and finding bones at the bottom
Providing housecleaning services and coming across body parts in the freezer
Finding a corpse in the trunk of a friend's car
Walking home at night and seeing a body in an alley
The character checking on a friend they haven't heard from in a while, only to find them deceased
Visiting an elderly neighbor and discovering their body in the house
Uncovering remains in the wreckage following a bombing, earthquake, or mass shooting
Being the first person on scene at a fatal car crash
Finding a corpse used in a gruesome ritual in a remote location
A soldier grabbing an injured buddy to carry them to safety and discovering they're already dead
Being first on scene at a homicide
Finding a boat adrift and everyone on board is dead

Feeling unclean despite not making contact with the corpse
Vomiting at the discovery
Accidentally contaminating the crime scene
Having to speak to the police about what happened
The discovery hijacking the character's day, causing them to miss out on anticipated plans
No longer feeling safe in that location
Having to field questions from morbidly curious people
The character being rebuked because they handled the situation poorly 
Suffering from insomnia
Feeling unsafe
Being questioned by the deceased's loved ones 
Being hounded by reporters
The character's children being frightened by the experience
The character's house becoming part of the crime scene (if the remains were discovered there), forcing them to find lodgings elsewhere