http://dragonage.wikia.com/wiki/Maker
I think somehow Solas' actions connect with their Maker. I feel that much of the beliefs of the people of Thedas are messed up and misread stories from the fall of Arlathan and somehow Andraste's actions were either combined with it or this Maker who spoke to her is not the real Maker and is what is sealed within the Black City. The same City that holds the taint and that led Corypheus to open the gates and release part of it.
lol @ some Wiki user being your only source.
The Chant says nothing about the Maker creating the Veil. It was only assumed.
The Chant described the creation of existence from silence, and the realm of the spirits (The Fade), and the realm of mortals (Thedas).
The Veil is not THE barrier between realms - it is A barrier between them. It is a special magic.
Basically, the Maker created the Fade and Thedas, and the differences between them, but he did NOT, as per the Chant (forget about the Chantry etc assumptions), create the Veil between the realms.
So previously, the Fade and Thedas intermingled - different rules, but in coexistence.
Maker theology is still intact. It is perhaps only current day Chantry interpretations that can be indisputably, at least from the Inquisitor's perspective, considered wrong.
Maker creates Fade --> Maker creates Spirits --> Maker creates Thedas --> Maker creates Man -----> Veil created
So the Maker turned from his firstborn
And took from the Fade
A measure of its living flesh
And placed it apart from the Spirits, and spoke to it:
This just means the Maker took from the Fade a part of it and placed it as its own realm, one separate from where the Spirits resided. What was the previous 'Balance' of 'Everything Fade', is now a state of opposition. From there being Fade vs Thedas, all sorts of other opposition arises.
From his Voice, the Maker creates the Fade and its Spirits. From a portion of what the Fade is, the Maker creates Thedas, since the Spirits were but echos of his Voice. His Voice plus this portion of the Fade forms Thedas and its basic workings. A new world, but a world that is like the dead echo of an echo. But in this world, the Maker created Man (dunno how other races may fit in). Man were given souls/made in the composition that makes up souls, and therefore, while limited by the realm of Thedas and their placement in it, had all the possibilities to do things and become things that the spirits did not (or at least had, but could not comprehend due to their nature as fixtures of the Maker's Voice). Man could 'choose' (even if choice might be considered an illusion).
Nothing about this speaks of the Veil. In fact, we already know that magic exists that has much more fluid and smooth travel and existence between realms. They are but wavelengths. The Veil is like its own wavelength that interrupts the flow between the Fade and Thedas. It makes the difference between them much more prominent - it doesn't completely close either off, but it locks away a lot. It is engineered by Solas.
TLDR; Really, nothing in DAI contradicts the CHANT. It contradicts the CHANTRY, but we're allowed to reform or use or do whatever with that. What happens in DAI is a big message of 'Not everything is what it seems', NOT 'everything your culture was founded on was a complete lie'. This is even true for the Dalish - feel betrayed by revelations about Fen'Harel, sure, but it isn't a mistake that Solas is considered a trickster god to be wary of, and its likely still true that the Creators at least originally had benevolent intentions. The foundations of belief have sense to them.