IF our universe if fine-tuned (a premise which does have some evidence) THEN the probability of the existence of a creator who fine-tuned it is more probable than if our universe is not fine-tuned.
Which is known as an argument from ignorance. I realize you might have difficulty realizing why it is but make no mistake about it, it is. I'll try and make it clear why it is an argument from ignorance.
BTW: I apologize for the patronizing tone.
In the past, people didn't know how things worked. Since humans were capable of making things and altering their environment and humans could consciously cause things to happen then it was assumed that everything in nature that happened and appeared ordered must also be caused by a conscious entity. For instance, trees looked constructed so they explained how trees grow using their limited knowledge and filled in the gaps of their understanding with whatever was convenient.
This is what you are doing. The universe appears "fine tuned" therefore there must be a fine tuner. The sun appears to move across the sky therefore there must be a mover.
You don't know for a fact that there is a "fine tuner". You are only inferring it based, in large part, on what you DON'T know the way the ancients inferred tiny people to explain how trees are constructed.
How does the fine tuner, fine tune? Does it use knobs on a machine or does it simply wave its hands or twitch its nose like Samantha from bewitched?
A "fine tuner" has no explanatory power. It has no predictive power. It tells us nothing of the "fine tuner" or the mechanisms used by the fine tuner. It's a blank model. It is only saying "god did it" which has demonstrably been the wrong answer for thousands of years. It's god of the gaps.
When Laplace presented to Napolean his theory for the creation of the solar system, Napolean was struck that Laplace had not included this "fine tuner" you speak of and asked Laplace about it. Laplace responded, "
I have no need of that hypothesis".
From the Atom to DNA to the synthesis of carbon humans have been closing the gaps for god to hide in. As for a "fine tuner", there is no need of that hypothesis if for no other reason than it doesn't explain anything but to plug up our ignorance.