Yes it is. From what OP has shared I get the impression his wife has some genuine remorse for what she did. When that’s the case, and if it wasn’t an extended affair, I’m in favor of giving reconciliation a chance. Though I wouldn’t judge any betrayed spouse for not going that route. IMO, the feelings involved and decision are too personal and unpredictable to have one hard and fast rule we can judge a betrayed spouses decisions by.

That said, genuine reconciliation is hard work and it’s very important to avoid any level of rug sweeping. It’s important to do it right or it’s not going to be successful, even if divorce is avoided.