There is definitely no need to be scared. There are simple explanations for this animal behavior.
Hunger
After all, cats are creatures that are still active at night. Sometimes the feeling of hunger can start to bother you even at such a time. The solution to this problem is very simple - fill your pet's bowl before bedtime.
Desire to play
Since cats are alert at night, they may become bored and eventually demand attention from their owner to join in the game.
To prevent your pet from getting bored at night, you should play with it longer at a more convenient time so that the cat falls asleep quickly and sleeps soundly at night.
Fear
The animal may be frightened, for example, by noise from the street. The cat may also be worried about health problems. As a result, the pet will come closer to the person and start looking at him intently to ask for help or protection.
Love
If the intense gaze is accompanied by purring, and the cat rubs its muzzle against the owner, then this is a sign of affection and love.