A new environment can be scary for a cat. We have a lot of experience with cats moving to a new home, it is important to let your cat get used to the new apartment. Let him wander, watch and listen, not forcing the adjustment. Most cats will be comfortable within 1/2 days (or hours, depending on the cat).
Some rescue cats have suffered neglect in the past. They learned to not trust humans. You need patience to show your cat he can rely on you, show him you're a provider, make sure cat food, clean litter, fresh water and playtime is provided daily. When she knows she can rely on you to give her what she needs, she will be more willing to play with her toys in front of you, or even to let you play with her. It can take a few weeks/months but you will make some progress over time.
Fast movements can scare some cats. Try to move slowly around the cat and she will feel more comfortable. Once she's used to you you can start moving around at a faster pace. If fast movements or loud noises scare your new cat it means he's not yet used to you or the new surroundings.
Keep in mind every cat has a different personality. Some cats are just not as social or affectionate. You need to be patient and persevere, providing a healthy and comfortable environment. They might enjoy just being in the same room with you, other cats ask for affection. Every cat has a different way to express how comfortable and happy they are with their human companions. Remember most cats love the following:
- Routine - cats enjoy their daily routine. They hate change and like knowing what will happen next.
- Treats - don't make them part of their daily diet! Offer a few (2 or 3 kibbles) per day
- Patience - your cat will do things on her own time and pace. Do not force your cat, wait and your cat will eventually come to you.