Cats are very suspicious, which means they don't really trust people. This is related to their timid and sensitive nature. Many owners complain that their cats aren't affectionate with them. But we may not know the signs that a cat trusts us. Here are some examples. 
1. The more relaxed you are, the more at ease you will feel.
First, the more relaxed a cat is when you're with it, the more it trusts you. A kitten that truly opens up to you will purr contentedly in your arms, completely relaxed, with a supple body, and you might not even feel any muscle strength. Kittens that have lived with their owners since they were kittens will not feel insecure as long as they can feel their owner's hands, even if they constantly change positions.
Second, trusting you, I'll just comb my fur.
Grooming is a sign that a cat is relaxed. If a kitten you've never met before is grooming itself not far from you, it means it has some confidence in you, at least believing that you won't harm it. This shows that the cat's trust in you is gradually building.
Third, I'll turn my belly over to show you.
When a cat shows you its biggest weakness—its belly—it's demonstrating a great deal of dependence on you. Usually, when a domestic cat rolls around on its belly in front of its owner, it's trying to be affectionate! The cat hopes to gain more attention from its owner in this way.
IV. A beard is a barometer of one's mood.
A cat's whiskers are a high-performance "radar." It's generally believed that cats use their whiskers to determine whether their bodies can squeeze through various gaps. This "radar" also serves as a barometer of their mood. When a cat is bored, its whiskers droop listlessly. However, if a cat's whiskers point in front of its nose when it makes eye contact with you, be aware: at this moment, it doesn't like you and is very wary. Don't be so sure as to try and pull it into your arms.
5. Their eyes met.
In nature, when two animals meet, staring into each other's eyes is definitely a provocative act, and the best way for both to avoid conflict is to avoid eye contact. A cat that trusts you craves your constant attention, and when its eyes meet, it uses the opportunity to express its needs. Don't believe me? Try it at mealtime. If a cat notices you're watching it and immediately looks away, pretending to look at itself, avoiding eye contact, then without a doubt, it lacks even the most basic trust in you. Want to gain its trust? You have a long way to go.
6. What kind of cats are more likely to trust people?
Purebred cats typically possess superior temperaments due to their pedigree, but these innate qualities can gradually be lost if they don't receive affection and interaction from their owners.
Kittens that develop a close bond with humans from a young age, even if they are somewhat sensitive and timid, can usually quickly build trust with people. It's important to understand that how a kitten handles its relationship with humans is determined by how people treat it after birth.
If a kitten has a mother cat who doesn't trust people, then the kitten will also be suspicious of humans. If the mother cat has been mistreated, then she will definitely teach her kittens to stay away from humans.
Compared to dogs, cats are definitely slower to warm up to people. Their personalities are inherently suspicious, so gaining their trust may require more time and effort. Because this trust is hard-won, it's all the more precious. If you, as a cat owner, have already established this mutually trusting relationship with your feline companion, it's something to cherish immensely.
Trust, whether in animals or humans, is built up little by little. Cats are naturally timid and afraid of people. If you want a cat to trust you, you need to treat it better and dispel its doubts about you. That's how you gain a cat's trust.