I wish you would have stated why you feel so strongly about not having a (small) dog in your home. You and your wife need more mediation than I can offer in a letter.
What this means is your fiancé is either bisexual or gay. For both your sakes, tell him you know what has been going on, because if he's unfaithful now, marriage vows won't change him.
For your wife to have given you a semi-ultimatum was wrong, but it indicates to me that you two may have more problems to resolve than whether to get a dog.
Ask your doctor to test you for STDs, and then call off the wedding so you can find a mate who will be faithful.
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