Though Anurag hasn't properly apologised to Prerna yet, I am glad he thinks that he needs to gain her trust back due to his recent actions. I can also understand where Prerna is coming from. She loves him but doesn't want to accept it publicly as she's scared of getting hurt.
What makes their emotions weird is they are both still acting as husband-wife in front of the society (cuz of Tapur's alliance?). They clearly don't consider themselves properly married, hence the proposal.
I'm just pissed at one, the way they keep saying you'll be the friend and she'll be taken away by someone else. Like stop it, he's not even here, what's the need to keep saying such things? Second, whenever Anurag proposes marriage, Prerna will say yes and there's no apology needed!