Ok so they never settled whether or not Anna was truly acting on her own, or with the backing of the rest of the Angels, or thinking she was acting on her own but they were secretly watching and approving as she did their bidding. I have a problem with this, because it has some very serious implications.
Question #1: Did Anna break out or was she set free?
They don't answer. Anna insists she broke out. Castiel says it is not possible and that she would only be free because they set her free. She could be lying to Castiel - they could have broken her and now she is secretly carrying out their plans but doesn't want Cas to know she has turned. She could be thinking that she is telling the truth - she could believe she broke out, when actually she was allowed to escape. She could have truly escaped and have been acting completely independently. They don't settle it.
Question #2: Was Anna cut off from heaven's power during this episode?
They don't answer it, not really. She is able to reach out to Uriel and call him to her. Castiel was not able to do this, he had to use a former meatsuit and a ritual to call Raphael. Is this because Anna had heaven's power and Cas did not? Did Show just forget about this? Is Anna innately more powerful then Cas (she WAS his superiour, indicating she was more powerful, and yet she chose to travel to the past rather then fight Cas in order to kill Sam - indicating she doesn't think she can beat him).
The fact that was disoriented does not prove she was cut off from heaven. Castiel said that time traveling is difficult even with the power of heaven backing one up - and we have never seen an angel that we KNEW had heaven's power time travel. Maybe it hits them all like a punch in the face. We don't have a basis for comparison. It could hit everyone hard, which Cas certainly imoplies when he stresses its difficulty, or she could have been so thrown off because she was acting without extra power (like Cas).
Implications: Have the angels changed their mind?
If Anna was acting truly independently, if she truly broke out, then there are no dangerous implications. The angels still want the Winchesters to say yes. They want the Apocolypse. They want Lucifer and Michael to fight and for Lucifer to be defeated once and for all.
But if she was NOT acting entirely on her, then there are some SERIOUS implications. Called "the angels have realized Dean and Sam will not say yes, they realize they are screwed, they are not going to get Michael showing up to save their asses, they want Sam dead because it is the only way to stop Lucifer from killing everyone, them included". If Anna is working with them, secretly. Or if they permitted her to escape knowing that she would try to save the world by killing Sam. It doesn't matter either way - it still means they they know they were wrong and they are changing tactics.