Boyfriend texting another women

Basically I caught my long term bf who I'm ttc with texting another women. The texts where 'it can be our little secret' 'my girl doesn't need to know' and him asking to meet with her tonight after he's watched the football! When he found out that I knew he cried ALOT (I've never seen him cry) and told me how sorry he was and he didn't mean any of it,that he loves me and never wants to lose me. I'm trying so so hard to forgive and forget. What would you ladies do? Forgive and forget as he didn't physically cheat on me or walk away and never look back? I love him dearly but I know my worth and I won't be treated this way? No nasty comments as I've got enough on my plate just need reassurance that I'm doing the right thing by trying to sort things out!