Could be a lot of things...
First try saving from word in another format, like RTF, and see if that works. And check the Import Options to see if maybe something could be changed there that might help. If the Word file contains some strange font not inthe other file(s) it might just be a bad font.
Is this happening with all files? Can you palce this problem file in a different document?
Version of InDesign?
Trash your preferences.
Export your document to IDML.
Try placing an RTF file instead (ok, yes, Peter suggested that).
It could also be some settings within your paragraph formatting within Word that causes the text to kick to the next page (overset text) - such as having a long line of text for a hyperlink and having it not hyphenate and/or break. If a line of paragraph of text isn't allowed to break, it will try to fit in the next frame infinitely.
We work with a lot of files we have these types of issues with and, generally, it's related to a hyperlink or table that's setup too wide to fit on the page with the margins as they're setup or the hypenation setting is off. You can also trying placing by click-and-dragging wider than the page to help determine where the issue originates within the new text.
Sometimes it's just something you would never notice until this error occurs.