Grima wasn't a weakling. He killed Saruman and Lotho and who knew how many. It has also been found that the most skinny, weakish looking creatures are rather strong (Gollum, for example).
The quote that Lalaith quoted, how Eowyn had a swift stroke, skilled and deadly, refers to her swordsmanship. You can be clever with a blade yet not be able to fight with your fists. Now, I doubt that Eowyn would carry a sword with her at all times, being a woman and all. So, I do believe it possible that Grima could have overcome her if he wanted to rape her.
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I'm sorry it wasn't a unicorn. It would have been nice to have unicorns.
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