This is a situation where thanatophobia can start or be triggerd.

Similar to necrophobia, thanatophobia is the more specific fear of death itself, of being dead or dying. Thanatophobia is derived from Thanatos (θάνατος: "death"), the Greek personification of death. Thanatophobia is not the psychological phenomenon of death anxiety, nor the related but more philosophically-motivated 'existential angst'; death anxiety and existential angst are not phobias. People suffering from thanatophobia are so preoccupied with death or dying that it begins to affect their daily lives. They may even develop other disorders as they try to cope with their phobia, such as obsessive–compulsive disorder or hypochondriasis.[6]