I've played through this game many times, so it's hard to pick a favourite Inquisitor, but here's a compilation of what I consider my canon choices:
Inquisitor
Lady Trevelyan
Voiced by Alix Wilton Regan (though all the actors are great)
No race preference
Rogue archer
Personality
Diplomatic
Friendly with companions
Supported mage freedom
Not Andrastian
Did not believe to be Andraste's chosen
Choices
Sided with the Templars
Allowed Lord Woolsley to return to Jimmy
Decided Druffy can find its own way home
Let the Warden fight the nightmare demon
Exiled the Grey Wardens
Doesn't much care about who rules Orlais
Did not drink from the Well
Judged prisoners firmly, but avoided execution
Disbanded the Inquisition
Vowed to save Solas from himself
Companions
Romanced Sera
Friends with Solas
Refused to do Vivienne's personal quest
Supported Leliana as Divine
Freed Rainier but did not allow him to join the Wardens
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I'm currently on a new run with a mage Lord Trevelyan.