We don't have to play a demigod every time. New problems, new hero. But I recognize this is a matter of taste and some will say "do want." I just vote "don't want." To me the Inquisition is a limited time only proposition and even Lavellan has better things to do than be tool of Orlesians, Chantry folk, or whoever will try to use it after the world is saved. And I like Lavellan, but she belongs to this game, not DA4, IMO.
Hmm, I would disagree that we've had any DA demigod's before now. The Warden was just someone who got caught up in the 5th blight and did the best she could to raise an army to defeat the darkspawn and archdemon. She had a lot of help and no special powers. Hawke was just someone who got caught up in the political turmoil of her adopted city and found herself becoming a leader in a vacuum. She also had a lot of help and no special powers. The Inquisitor is different. She's got the anchor which, even after all the rifts and the breach are closed, allows her and anyone near her to enter enter the fade physically should she choose to tear the veil. This is powerful and dangerous stuff. Even with Coryphyfish dead and the Dread Wolf off doing whatever it is he has planned, why wouldn't some other power mad fool come after her? Even if the Inquisition is decommissioned between now and the next full game, I agree with whoever said that it really feels like this is just the beginning of our protagonist's story. DAI was a cliff hanger and you don't follow a cliff hanger with a new protagonist. No matter what, she is inexorably linked to Solas through the anchor and I believe that he will find himself in the unenviable position of needing her help in the future and that's where we'll see the resolution of the romance.
I, for one, am ready for a Dragon Age trilogy centered around a single protagonist, like we've seen with the Mass Effect games to date. While I loved Origins, I detested DA2 for many reasons, least of all because it was a new protagonist (my warden sacrificed herself so Alistair could be king, oh how I cried). Even Awakenings was better than DA2. DAI finally feels like we have a story meaty enough to support a single-protagonist trilogy and, with the rampant success the game has already seen(Game of the Year and "the most successful launch in Bioware history"), I expect Bioware to capitalize on that success.
They've already cancelled Shadow Realms and, last week, said they would be working on "additional ongoing enhancements" to DAI in addition to ME4, SWTOR and a couple of new IPs they don't appear ready to talk about yet. Blake Jorgensen said the critical and commercial success of DAI represented a 'huge opportunity' for the series in the future. (source: metro.co.uk Feb 10, 2015)