What would have happened to Telemachus' mother if he does not leave to search for his father?

If Telemachus had not left to search for his father, Odysseus, his mother, Penelope, would likely have faced increasing pressure from the suitors vying for her hand in marriage. Without Telemachus's support and the hope of Odysseus's return, she might have succumbed to their advances or been forced to choose one of them, leading to the loss of her autonomy and her husband's legacy. Additionally, her emotional state would have likely deteriorated further, as she would remain trapped in a situation of uncertainty and turmoil.