Can a 11 week pregnant woman take Tylenol (acetaminophen) cold and flu. She has cold with runny nose and cough. What is best medicine for her?

Be cautious. You are still in the first trimester and it is better to err on the side of caution and avoid unnecessary medications. Fevers should be actively managed but otherwise you are only treating symptoms. I do not recommend multi-symptom preparations. If you must take something, take the minimal effective amount of medication for the particular symptom you are trying to manage.