I don't know if she has to be furious given the scope of his secret, it comes down to the age old reason of secret super identities, i.e. protecting those close to them and trying to have a normal life. I think Lois can understand that ( and hopefully they talked about it after the big reveal).
Yes,
eventually, but she'd be entirely within her rights to be angry at first. It would be in character for Lois, a crusading seeker of truth, to be upset about being lied to by someone (
two someones) she trusted, and to demand a
very good explanation before she chose to forgive him, and to make him promise never to deceive her again.
I mean, if she just passively accepts his secret and his reasons, that makes it all about
him. Her own personality, her own values and beliefs and rights, just vanish from the story, and that should never happen in any modern portrayal of this relationship. They need to be equals, to be equally in control of the interaction. Lois has a right to assert herself and demand that Clark
earn her acceptance and her trust. She needs to do what she does best --
question him, confront him, extract every bit of the truth from him, before she arrives at her conclusion.
Superman overhearing Lois in the studio - i don't think you need superhearing to have heard Lois and her friend, he was not that far away and they talked quite loud.
I just take that as the theatrical convention of private conversations being performed loudly enough for the audience to hear, while the conceit is that nearby characters can't hear it.
Even if not i agree that it was uncharacteristic for him to eavesdrop into a private conversation.
That is not what I said. I was talking about how Lois would perceive it, not how I perceived it. I presume that he couldn't help but overhear whether he wanted to or not. But I can see her being angry that he was there under false pretenses, that he was in a position to hear her admit how she felt about Clark because he was pretending to be someone other than Clark.