When one (male or female) consumes alcohol and becomes intoxicated, but is with people or at an event in which he/she must not show his intoxication for risk of inappropriate behavior or embarrassment. Therefore, he/she tries to contain the fact of intoxication while still feeling the effects of the alcohol.
1) I took a few shots with my roommate right before the lawyers dinner. We both experienced inner parties.
2) I had a few beers before meeting her mother. She thought I was cool, but I was having an inner party