So here you have
ORIGAMI
LINEAGE
BIOGENS
GINGHAM
GONGING
MIGRANT
PINGERS
MINTING
TINGING
SOPRANI
GINNING
DINGIER
Say the password is actually MIGRANT. Your first two guesses should work in concert together, make them completely opposite. I'd go with GONGING and ORIGAMI. Notice how neither have letters that line up together. For GONGING you'd get a likeness of 1. For ORIGAMI you'd get a likeness of 1. Now you can rule out MINTING, TINGING, GINNING, SOPRANI, DINGIER, PINGERS, BIOGENS and GINGHAM.
They can all be ruled out because they all have 2 letters in common with either GONGING or ORIGAMI. You now have only LINEAGE and BIOGENS left as options. You have two guesses left so just guess both and you'll be in. If you had more than 2 left you repeat the process one more time or take a look at the words and see which remaining words have 1 word in similar with your first two guesses. If any have no words in common with your first two guesses you can rule that out as well.