Search Results: making the next move

I usually refrain from these types of post but this woman is infuriating me!
I’m 10 years older than my partner and we’ve been together for 2 years. I looked in his emails and his ex has been emailing long lengthy life story updates to him! They were unread and in spam. I didn’t read them as they were very long whiney messages and they looked boring but one started with “you’re not making this easy for me when you don’t reply” I mean wtf? How attempting to gain control is that? They broke up in 2014 and were only together 9 months they briefly met back up a year before we got together but things had changed and it was awkward apparently.
I told him next time she emails to let me know and I will reply. She knows what he’s doing as she mentioned he’d moved to a different city so she knows he’s with me. I would leave it but she’s relentless I mean she’s emailed 1/2 times a month for years. I just find it very disrespectful and she should think about how she would feel if she was in a relationship and his ex was doing this? What makes her think her needy, unstable ass is better than mine? Should I leave it or message her because she will never stop!