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You ask how long you should wait for this to "resolve" itself. Some commenters callously tell you to just bail, pointing out the supreme fact of this life in late capitalism: you are the only one who matters. You're quick to note how relatively trivial this all is if pursued too zealously. I think that means you're already on the right track to getting the resolution you want.
The thing is, it won't come in the form of an answer to the literal question "how long do I have to wait?" This isn't a question searching for numerical answers, but a way of working out your love for your husband or not. The real question isn't how long, but can I wait? It sounds like you love him though, to which I say that is all the answer you need to your question.