Another angle on the annoying chick
I totally agreed with the thread bashing Joanne Dru's character (Tess Millay) until I read a piece by Sheila Ruzycki O'Brien comparing Red River to the story it was based on called "The Chisholm Trail."
In the translation to film, Tess loses her position as a calculating woman of her own means to become a weakened character of vague background with some power, conveyed mostly by emasculating the menfolk. O'Brien says: "Gone is the tale of Tess Millay's cut-throat drive to achieve her goals of money, social status, and Matt as a husband--a drive which echoes Dunson's." (But I don't think she means to say that Dunson wants to marry Matt. Or does he? {Please see posting "Monty and Cherry"} ; )
I totally recommend this piece if you can find it. The title is "Leaving Behind 'The Chisholm Trail' For Red River -- Or Refiguring the Female in the Western Film Epic" and the source is "Literature/Film Quarterly" v24 no2 p183-92 '96
The author points out details I hadn't noticed. The film is from the post Rosie-the-Riveter era, in the time when men returning from the war wanted women to leave the workplace and return to the "apple-pie lifestyle they had been told they were fighting for." Notice the disastrous out-of-control clattering of pots and pans that caused the stampede, those items being the traditional realm of the woman, now screwing up the important work of the men. Similar deal with the ending showdown scene--the men are literally overwhelmed by the female power associated with civilization.