When introducing a cat, you need to consider the cat's sense of territory and ability to adapt to a new environment. Usually, it takes about one week for the cat to adapt to the new home. During this time, the cat should be provided with a quiet, comfortable environment and given enough time to explore and adapt. If the new cat is introduced to an existing cat in the home, the process may take longer and special attention needs to be paid to the adaptation and interaction between the two parties.
During the cat's adaptation to the new environment, forcing them to interact should be avoided and instead they should be allowed to naturally familiarize themselves with each other's smells and sounds. This can be done by setting up isolated spaces and using each other's belongings (e.g. toys, blankets, etc.) to help the cats gradually adapt to each other's presence.
Overall, introducing a cat is a gradual process that requires patience and careful observation to ensure that the cat can feel safe and comfortable in its new environment.