It wasn’t his spouse that persuaded Adam, but the devil
According to the Old Testament it was Eve that had persuaded Adam. As a punishment for obeying the snake, she feels pain when she is pregnant, and her husband shall reign over her. (Genesis, 3:6-7, 11-16).
If one reads this chapter in the Quran one can see that there is nothing said about the snake. The person that persuaded Adam was not his wife but the devil. (2:36; 7:20).
In order to show in particular that it was not his wife but the devil that had convinced him, the Quran states in chapter 20 verse 120: “… But Satan whispered evil to him…” For that reason the devil whispered to both of them, but in particular to Adam!