To solve this problem, we need to identify the hormone that is produced under stress conditions and stimulates glycogenolysis in the liver.$\newline$Let's analyze each option:$\newline$• Option 1: Thyroxine$\newline$ - Thyroxine is a hormone produced by the thyroid gland.$\newline$ - It primarily regulates metabolism and does not directly stimulate glycogenolysis.$\newline$• Option 2: Insulin$\newline$ - Insulin is a hormone produced by the pancreas.$\newline$ - It promotes the uptake of glucose by cells and the storage of glucose as glycogen,$\newline$ which is the opposite of glycogenolysis.$\newline$• Option 3: Adrenaline (also known as epinephrine)$\newline$ - Adrenaline is a hormone produced by the adrenal glands.$\newline$ - It is released during stress conditions and stimulates glycogenolysis in the liver,$\newline$ converting glycogen into glucose to provide energy quickly.$\newline$• Option 4: Estradiol$\newline$ - Estradiol is a form of estrogen, a hormone involved in the regulation of the female reproductive system.$\newline$ - It does not play a role in glycogenolysis.$\newline$Based on the analysis, the hormone that is produced under stress conditions and stimulates glycogenolysis in the liver is adrenaline.$\newline$Therefore, the correct option is Option 3: Adrenaline.