I believe you are arguing the following. Let me know if I am wrong.
1. If God does not show himself, then he fears to show himself.
2. God does not show himself.
3. Therefore, God fears to show himself. (1, 2 MP)
4. If God fears to show himself, then God is a coward.
5. Therefore, God is a coward. (3, 4 MP)
6. If God is a coward, then he is not worthy of the title “God.”
7. Therefore, God is not God. (5, 6 MP)
I’d like to object to premises 1 and 2.
First – an objection to the inference in premise 1. You are claiming that the reason that God does not show himself is out of fear. You have not offered any evidence to support this claim. I think your inference is incorrect because there are other reasons that God might not show himself, if that is true. For example, if God were to show himself to us, to an extent that we would know for certain that he exists, we would have no choice but to believe in him. If we had no choice but to believe in him, then we would not have free will in our act of belief.
For clarification, here is my argument in a hypothetical syllogism.
1. If God were to clearly show himself to us (to an extent that we would know for certain that he exists) then we would have no choice but to believe in him.
2. If we had no choice but to believe in him, then we would not have free will in our act of belief.
3. If God were to clearly show himself to us, then we would not have free will in our act of belief.
If your conception of God values free will, then this justifies why one could think that your inference is incorrect.
Second – an objection to premise 2, “God does not show himself.”
We’ve established that if you believe mankind should have free will, then God cannot clearly show himself to the extent that the evidence would be insurmountable. Our only other option is to look for subtler signs of God. Many people have argued that there are signs of God in the organization of the world, and how intricately it appears designed. Others believe they can see God manifested in instances of selflessness and love between other people. Clearly, both of these arguments are complex and require further justification. But for the sake of the objection, I think these two points makes your second premise unsound.
My argument is as follows:
1. If you believe mankind should have free will, then God cannot clearly show himself.
2. Mankind should have free will.
3. Therefore, God cannot clearly show himself. (1, 2 MP)
4. If God cannot clearly show himself, then he either doesn’t show himself at all, or he shows himself subtly.
5. So, either God doesn’t show himself at all, or he shows himself subtly. (3, 4 MP)
6. God shows himself subtly.
7. Therefore, it is not true that God doesn’t show himself at all. (5, 6 DS)
Let me know your thoughts and if I have inaccurately represented your argument.