It sounds like your T has made clear her stance which is that you can email if you need to but she won't be reading them until she's back. I understand your worry about whether it's okay but, like Artley said, it's for her to decide whether she chooses to look while away after all. You only need to decide whether it feels helpful for you to email her in the meantime and leave the rest to her. Also, it's best to assume she won't be looking at all....I only say that because if it were me I'd have a tiny bit of hope that maybe she would read some/all of them and reply and I'd end up disappointed. The best approach is to do what's right for YOU in this situation knowing that T is happy for you to email if needed but isn't going to respond while away.