What is the most logical next event?

How to live with a college roommate who is your total opposite
Get to know each other.
If you decide from the very first time you meet that you're too different to possibly like each other, you will certainly set yourself up for a miserable situation. You don't have to be best friends, but getting to know one another will help you at least establish friendly conversations.
Figure out what you have in common. You might be total opposites on most things, but you will have at least one thing in common.