Rabies transmission requires direct contact of the virus (from saliva, neural tissue, or brain matter of an infected animal) with a fresh wound, mucous membrane, or broken skin. In your case, the dog’s saliva only touched intact skin, and the water that splashed onto your other hand is considered indirect contact. The virus does not survive well in the environment or in running water.
Therefore, the chance of rabies transmission in this scenario is extremely low to negligible.
Next Steps
No need for rabies vaccination at present based on the description, but if you are anxious or uncertain, you can visit a nearby government hospital for professional evaluation