When your husband keeps texting her...

What does it mean when your husband continuously texts a female that that has sent him inappropriate pics in the past? What does it mean when you and your husband separated for a month last year, because the trust was in your marriage was slim because of your husband's response to said pics (see below for 1 example). What would you do if said female is STILL SENDING INAPPROPRIATE PICS and your husband doesn't immediately condemn these actions, and BLOCK her. But he instead just sends nondescript emojis (so basically doesn't say inappropriate things back, but allows the behavior to continue.) What would you do? Tell me. Cuz I'm about to kill him. Oh yea, she's married too.

Update: Yesterday I ended up texting him that I was forwading the screenshots I sent myself to her husband. He didn't respond, he called me, and was acting like he was just so confused. I was so pissed, I just let it all out. I won't rehash the whole convo, but basically at this point a decision has to be made. He has to decide if he's done with all this, and I have to decide if I can trust again. We're sleeping separately right now. I'm just so angry, and upset.

To answer a couple of questions I saw, this screenshot is from late 2017. When we went through this before. I found more pics in convos from late 2018, and LAST week on Sunday. Which has started this again. Also, I found out through social media her husband has been cheating on her as well, so I'm not even going to bother involving him.

UPDATE: Now he's saying that he's going to handle the situation the way that he wants to handle the situation. He's not going to text her, and cut her off because 'it's in the past' (LAST WEEK). So basically he's going to wait until she does something else inappropriate to cut her off, because she's not being inappropriate right now! I'M OVER IT. Oh and also, 'if I change my attitude about the situation I will eventually feel better about it'!! Yall I am so LIVID!!!