Correct option is A
The most appropriate meaning of the idiom "Keep someone at arm's length" is (a) "Avoid becoming friendly with someone."
When you keep someone at arm's length, you maintain a certain distance from them, both physically and emotionally.
This implies that you are not getting too close to them or forming a close relationship.
Example: "She decided to keep her new colleague at arm's length until she got to know them better."