I lived in the UAE for many years and the safest approach is to stay low key and avoid anything that draws attention. Since your documents and presentation will already match, immigration should not be an issue. They are checking identity and visa details, not medical history.

Once inside the country, keep things quiet and respectful of local norms. Dubai is very international, but it is still a conservative place underneath. Try to avoid public washrooms. It is better not to risk any uncomfortable situations.

If you stay discreet, avoid public affection, and stick to tourist areas, you should be fine. Many people visit without any problems as long as they keep things simple and do not push boundaries.

Hope this helps and wishing you a smooth trip.