Word files can be a pain. Were the items bold in the Word file, or were they all just regular roman? I know that sometimes authors and editors do crazy stuff in Word files, and I usually have to scroll through the whole thing to check on things. Underscored, bold, or italic punctuation is not uncommon.
Sometimes things can go buggy when downsaving from .docx to .doc.
I’m not sure about downsaving to .rtf. I had some issues a while back with saving as rtf files (though in that instance I was saving an InDesign file as .rtf for a client). We had basically done keystrokes for them using xTags. We flowed the file into an ID file, and then saved as .rtf so the designer could flow the file in. For some reason, the rtf file was over-riding ID’s style sheets so far as spacing and leading and stuff). So I’ve kept away from .rtf personally.
But you might not have a problem saving directly from word to .rtf, though it’s possible some things could change. I guess you’ll need to experiment.