This is an uncharacteristic moment of weakness for the usually patient Penelope.
Penelope suffers so painfully for the loss of Odysseus that even her dreams are haunted by his absence.
(Eurylochos, in Odysseus's tale:) "Listen to what I say, my companions, though you are suffering evils. All deaths are detestable for wretched mortals, but hunger is the sorriest way to die and encounter fate. Come then, let us cut out the best of Helios' cattle, and sacrifice them to the immortals who hold wide heaven, and if we ever come back to Ithaka, land of our fathers, presently we will build a rich temple to the Sun God Helios Hyperion, and store it with dedications, many and good. But if, in anger over his high-horned cattle, he wishes to wreck our ship, and the rest of the gods stand by him, I would far rather gulp the waves and lose my life in them once for all, than be pinched to death on this desolate island." (12.340-351)