A week quickly passed, and Rune had yet to properly take the time to become intimate with Luna. He knew she desired him. Desired to take their relationship to the next level and stand by his side as equals. But he was focused on protecting her nonetheless.
It may have seemed selfish from an outside perspective. After all, Luna was much stronger than she was before. Her powers had awakened at a level neither of them could have imagined, and she was perfectly capable of looking after herself. She didn't need him to hold her hand anymore. But this was as much for him as it was for her.
His desire to protect her didn't stem from some shallow thinking that she was his woman, so she needed to be protected. No, It was much simpler than that. Rune wanted to protect his loved ones because they were important to him, nothing more. So he was making an effort to improve.