Multiple Two Sample T Tests To Compare Rugby Teams?

Hi there Newbie here!

I have a theoretical example I am looking for help on, regarding matches between rugby teams. I believe this may possibly be able to be solved with "multiple two sample T tests?"
I have 10 rugby teams who have played each other (mostly) and I have the score difference between them in each match. And I would like the score difference to be used to determine who is the best team. eg Team A beats Team B 100-0, Team B beats Team C 12-8, but Team C beats Team A 10-0, in this case Team A would be ranked first due to their massive score difference. However, in this scenario not every team has played each other so I will be trying to work of relative frequencies if you get me? [For the image below, the team on the y axis is the first team, meaning if there score is 8, it means they won by 8 points).