Who do you think in the movies is the best looking?

[Sir Kohran]

there is another pretty woman in the movies who is not a main character and who is not all dirty and begrimed. She's in Gondor, one of the ladies who went out to bid Faramir farewell, who is absolutely gorgeous (I think). She's prettier than Arwen and possibly Eowyn

I assume you mean the girl slightly to the left, next to the hooded person, in this shot? If so then I agree that she is absolutely stunning, definitely better-looking than Eowyn or maybe even Arwen.