When the argument refers to complex ancillary material, putting it into appendices decongests the main text. Sadly, style does matter at this point of the proceedings. This site, again on how to win grant funding might be of some use to you would-be medievalists and renaissance scholars. I would emphasise here that really you should do as much preparation as you can in applying for postgraduate study. Find out as much about your prospective supervisor and find out about their current projects.
Personal contact is important.
Write to someone who you feel might be a prospective supervisor, and if they are not able to supervise you, they may be able to guide you to someone who can. Secondly, be honest with yourself and your supervisor. Thirdly, work at the relationship. Think of the future also. Your supervisor will provide you with the references for the next step in your career.