Breastfeeding without a cover

I basically have avoided the outside world bc of fear of having to bf in public. Baby has latching issues and a cover just does not work for us. Tomorrow I need to go to my son's school (special needs school that is really far away) and do an education training session. She will not take bottles and the drive is far so I know she will want to eat when we get there. What are your thoughts about bf'ing w/o a cover? Any anecdotes? I don't mind bf'ing in front of people but I'm scared of people's reactions.