The correct option is (B) without any delay. The word "in a jiffy" means something is being done very fast or within a short period of time without any delay.
Examples:
In the kitchen: "Don't worry about dinner; I can whip up some pasta in a jiffy."
At work: "Just give me five minutes to finish this email, and I’ll be with you in a jiffy."
Customer service: "The technician told me he could fix the cracked screen in a jiffy."
Running errands: "I'm just heading to the post office; I'll be back in a jiffy."