My name is Lucy and I'd be happy to answer your questions today. I'm sorry to hear that this happened.
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Unfortunately, no, you are not able to sue the mistress. Texas Fam. Code, Sections 1.106-1.107
specifically abolished these types of lawsuits. There is also no legal basis for suing the non-profit organization. They have no ability to control either your husband or his mistress. The contract is between the company and your husband - you're not a party to the contract, and the company does not owe you as the wife any duty, so, unfortunately, there is no legal basis for suing the company. What you can do is sue your husband, as the person in this scenario who had a legal obligation to you which he violated. But, as a matter of public policy, the law has decided that it a spouse cannot recover from a third party where a marriage ends. I'm sorry.
I apologize that this was probably not the Answer you were hoping to receive. However, it would be unfair to you and unprofessional of me were I to provide you with anything less than truthful and honest information. I hope you understand.