What is the ruling regarding a husband telling his wife: "If you let anyone (a worker) into my house in my absence, even if my mother is with you, or if she is the one who asked, I will not acknowledge you or I will disown you" (meaning I will renounce you or divorce you)? Is this a suspension or a promise?

The aforementioned phrase is not explicit in making a divorce conditional. What matters is the husband's intention. If he intended for the divorce to occur upon the fulfillment of the condition, then it is a conditional divorce, and divorce takes place. If he did not have the intention of making the divorce conditional, then no divorce occurs.