Is it rude to send my professor a link with teaching advice?
To show that you're an independent learner, I'd suggest don't just send the link, but read the materials in the linked page and summarize them to your professor, tell her if you think it may be useful for the directed studies. For instance, instead of:


  And here a link (URL) provided by the text on how to teach this book.


Try:


  I also found a link for teacher and read up a bit (URL). I think the
  suggested chapter sectioning for a 7-week syllabus seems suitable to
  our directed study time frame, please let me know your thought.


Or something along the line. I think you're quite lucky that the professor was being so up front about her lack of background knowledge, it should be a good directed study experience. But in turn, you'll need to bear some of the self-teaching responsibility, and don't expect that she can read some pages about how to teach the subject and then magically be able to teach you.