According to the old woman,

The young man was terribly unstable and insecure. He was not anyone who was fit for the arrow.

So she strongly advised the young man to sell the arrows.

Then, the young man replied as such:

"What I need the most right now is not money. It's power."

"I know I am not suited to be in a gang, and yet I've fully decided to stay there."

The young man then left the elderly woman as he talked with his female companion in Italian. That was how the story went.

After listening to the story,

Giorno thought that the young man who stole the arrows must be in some Italian gang now.

While there was no definite proof to it, he had a mysterious confidence about it.