I would ask her pediatrician if her paranoia is at a healthy level. I would ask him sbout seeing a pediatric specialist to know how to handle this.
I suggest that you may be paying too much attention to reducing her fears and not enough treating her in a way that shows you are sympathetic and yoy know she will be OK . I would expect her to stay in her room. Perhaps you can introduce this.expectation in a similar way sleep training helps.
First, talk about this situation in a calm way, asking her to give this a try. This may take more than one conversation. I would do the usual bedtime routine including reading happy books and playing soft music. Depending on her age, I would offer a mantra, such as I'm OK to say before and when she's scared.
The rule would be she stays in her room. Go into her room when she calls for you. Stay long enough to mostly calm her; then leave. Gradually lengthen the time before responding to her calls.
I have a friend who is a child psychiatrist. She said preschoolers go through a stage during which they have fears. She and her husband made a pallet on their bedroom floor. She could come in to sleep there when she was scared. This friend let her daughter started letting her daughter sleep their all the time. I don't know how that worked out. I've heard others suggest gradually moving the pallet closer to the door until the child was in her own room.
I don't know if this would work since she's afraid of eyes. Perhaps you could work up to her not waking you so she won't see your eyes.
I wonder why she's so afraid. Has she been hurt and not gotten over her fear?
I had a foster child frightened by eyes. She was anxious just seeing a reflection of eyes, even her own, in window glass. When we drove at night, I kept her busy so she was focused on something else. This girl was a foster child because she wasn't safe with her mother.
I'm not saying your daughter is not safe.
I'm suggested she may have been frightened and needs help getting over her fear. This same girl was upset when we watched Roger Rabbit. There were scenes in which the rabbit appeared as a cartoon character with large spinning eyes. Fear can start with something as simple as that. My foster child responded to my reassuring her she was safe. I did not give in to her fear. We finished watching Roger Rabbit. Each time she mentioned eyes in a fearful way, I briefly sympathized and changed the subject. She eventually didn't pay attention to reflected eyes.
Just an idea. Often fears grow because when we try to fix the fear the child feels that there is something wrong that needs to be fixed; thus there is good reason to be fearful.
I would try spending less time reassuring her while assuming she will get past this.