Couples are going to fight about money. There is no way around that. There is, however, a better way to fight about debt. The thing that you need to do is realize that both of you are individuals. When you were single all that you ever had to do was look at your own expenses. Now that you have a partner you must consider the way that they spend and come to an agreement.
The grim reality is that few people will marry someone that sees their perspective. If this was the case few, if any, marriages wouldn’t unravel. It is so much better to put your time into quickly figuring out how you can get multiple accounts in place. There should be separate accounts that you use to save or spend money. There should also be joint accounts that are using for paying the bills. There should also be an account for emergency money that is being saved. Once these 3 areas are covered it is easier to get things.
The things you may start arguing about the most is the debt from previous relationships. There are also people that find themselves have arguments about things like gambling addictions. If you have these type of problems the partner that has these problems may need to get professional help. There is not going to be one conversation that makes the arguments about money go away. It may take months to resolve issues, but planning is an essential first step.