It really depends what they charge. But, let's assume they file a charge of domestic assault - which in Minnesota is commiting an act with the intent to cause fear of imminent bodily harm or death (such as raising a fist to strike someone), or intentionally causing, or attempting to cause, bodily harm.
For a first offense, it's considered a misdemeanor
, and a conviction can result in a penalty of up to 90 days in jail and/or a fine up to $1,000, though most likely if it's a first offense, a person would get probation
and have to do things like an anger management class, community service, etc.
But, don't put the cart before the horse. There's a long, long way to go before that happens -IF it ever happens, which it may not in the absence of witnesses and an uncooperative "victim."