After the suitor Amphimedon arrives in the underworld and tells the story of Penelope’s shroud and Odysseus’ return, Agamemnon responds:
Odyssey 24.192-202:
“Blessed child of Laertes, much-devising Odysseus,
You really secured a wife with magnificent virtue!
That’s how good the brains are for blameless Penelope,
Ikarios’ daughter, how well she remembered Odysseus,
Her wedded husband. The fame of her virtue will never perish,
And the gods will craft a pleasing song
Of mindful Penelope for mortals over the earth.
This is not the way for Tyndareos’ daughter.
She devised wicked deeds and since she killed
Her wedded husband, a hateful song
Will be hers among men, she will attract harsh rumor
To the race of women, even for those who are good.”
“ὄλβιε Λαέρταο πάϊ, πολυμήχαν’ ᾿Οδυσσεῦ,
ἦ ἄρα σὺν μεγάλῃ ἀρετῇ ἐκτήσω ἄκοιτιν·
ὡς ἀγαθαὶ φρένες ἦσαν ἀμύμονι Πηνελοπείῃ,
κούρῃ ᾿Ικαρίου, ὡς εὖ μέμνητ’ ᾿Οδυσῆος,
ἀνδρὸς κουριδίου. τῶ οἱ κλέος οὔ ποτ’ ὀλεῖται
ἧς ἀρετῆς, τεύξουσι δ’ ἐπιχθονίοισιν ἀοιδὴν
ἀθάνατοι χαρίεσσαν ἐχέφρονι Πηνελοπείῃ,
οὐχ ὡς Τυνδαρέου κούρη κακὰ μήσατο ἔργα,
κουρίδιον κτείνασα πόσιν, στυγερὴ δέ τ’ ἀοιδὴ
ἔσσετ’ ἐπ’ ἀνθρώπους, χαλεπὴν δέ τε φῆμιν ὀπάσσει
θηλυτέρῃσι γυναιξί, καὶ ἥ κ’ εὐεργὸς ἔῃσιν.”
More than half of this speech praises Penelope for being a loyal, ‘good’ wife (and that is another issue of its own). Of course, this makes Agamemnon think of Klytemnestra. There’s a lot to be said about how this passage sets up the end of the Odyssey, but Agamemnon’s words are striking because they reflect a sad reality not just about misogynistic thinking but about the operation of human thought.
Let’s start with the misogyny: Agamemnon says here, quite clearly, that because of the behavior of one woman (well, two if we hear ambiguity in the phrase “Tyndareos’ daughter” and think of Helen too) all women have bad fame, even if they are “good”? A simple response to this is to wonder whether the same applies to men (of course not…) Let’s pass over the fact that the murder of Agamemnon was probably well deserved. I think this passage also reflects human cognition: the story of Klytemnestra is paradigmatic. We learn basic patterns about people and the world and apply these patterns (prejudices) as substitutions for deeper thought.
I am not sure whether this serves as a bit of an anticipatory apologetic on the part of epic–that the tale of Penelope cannot match up to negative messages about women. It probably stands as an acknowledgement of a “negative expectancy effect”–we are primed to hear negative tales and to believe negative things. I suspect that on Homer’s part this is probably less about women and more about anticipating the reception of this poem.
But, at the very least, this is a clear indication that Homer knows the way it goes: we live in a cultural system that discounts positive stories about women in favor of negative ones and which, accordingly, downgrades the authority of the stories they tell. In our responses to the testimonies of men and women, men have the privilege of being individuals whose lives might be ruined by rumor and false claims, while women are always already undermined. This is is an example of structural misogyny.
For discussions of this passage see: On the contrasting fame of Klytemnestra and Penelope, see Franco 2012, 60–61. For invocations of Klytemnestra as an example of how a woman can ruin a nostos, see Murnaghan 2011, chapter 4 and Nagy 1999, 36–39.

Franco, Cristina. 2012. “Women in Homer,” in Sharon L. James and Sheila Dillon, eds., A Companion to Women in the Ancient World. London. 55–65.
Marquardt, Patricia. 1989. “Love’s Labor’s Lost: Women in the Odyssey,” in Robert Sutton, ed., Daidalikon: Studies in Honor of Raymond V. Schoder, S.J. Chicago. 239-248.
Murnaghan, Sheila. 2011. Disguise and Recognition in the Odyssey, Second Edition. Lanham.
Nagy, Gregory 1996. Poetry as Performance: Homer and Beyond. Cambridge