Here is the full list of all 13 Nidhogg 2 trophies - there are 7 bronze and 6 silver.
Beat the singleplayer in under 20 minutes
Win the faceoff and never lose the arrow in a singleplayer match
Play a match lasting longer than 20 minutes
Play a match with old school settings
Finish an 8 player tournament
Win 100 ranked games through matchmaking
Trap your opponent on your sword for a long time while moving it up and down
Beat the singleplayer game
100 total kills in one match
Let the timer run out in your opponent's last screen and win in sudden death
Get eaten by the nidhogg after nearly allowing your opponent to do the same
Kill yourself with your own arrow
Dominate every level in one singleplayer game