"Standoffish" means someone is distant or aloof in their behavior, keeping a certain distance from others and not being very friendly or approachable. Full definition
Families who were more standoffish with larger dogs were more likely to approach Little Bit because she was a small attractive dog. (breedingbusiness.com)
Friendly, outgoing dogs usually have sociable, outgoing owners, while more standoffish dogs often belong to less gregarious individuals. (moderndogmagazine.com)
Something that we often see in the landscape of stores with a gorgeous curation of unique objects and clothing is a very austere and sort of standoffish attitude, as if the store and the products themselves are so beautiful that they are extremely exclusive. (theeverygirl.com)