The Word Made Flesh

It seems to me the best thing to start this with is by saying that if your sin causes you to hide your face from God, you have the wrong impression of Him.

The first time we sinned, we hid from Him. Adam and Eve knew their nakedness and sewed fig leaves together as loin cloths. This would've been horribly uncomfortable, as fig leaves cause skin irritations. God does drive them out of the Garden of Eden, but not before He makes proper coverings for them. He showed mercy on our own stupidity.
The next thing He does is actually for our own good, believe it or not. He cast them out of the Garden of Eden. People use this instance to say God isn't merciful, but i use it to say He is. Look at it in context real quick; we sinned, we corrupted the earth itself, we have damned our own souls, and there is literally no hope for us whatsoever. So God puts us out of the Garden. 'Why?' you might ask.

"Then the Lord God said, 'Behold, the man has become like one of us in knowing good and evil. Now, lest he reach out his hand and take also of the tree of life and eat, and live forever—' therefore the Lord God sent him out from the garden of Eden to work the ground from which he was taken. He drove out the man, and at the east of the garden of Eden he placed the cherubim and a flaming sword that turned every way to guard the way to the tree of life." (Genesis 3:22-24)
That's an incomplete sentence in verse twenty-two. God made an incomplete sentence. When i first saw that, it really messed with my mind. I've heard it implies a sense of urgency in sending them out of the Garden, and that may be so. But i'd like to direct your focus to why He did that. So we wouldn't eat from the tree of life, and live forever.
Honestly, who in their right mind would want to live in this corrupted world forever? No, we need an exit plan, and that's exactly what God has in mind. He is heartbroken that we did the only thing He told us not to do, but if the tree of life would make us live forever in our sin, it would perhaps be best if we died.

The Word made flesh is Christ, and the definition of the Greek term, "Word," is Logos. According to Vine's Dictionary of translated words, it "denotes 'the expression of thought as embodying a conception or idea.'"
"In the beginning was the Word, and the Word was with God, and the Word was God. He was in the beginning with God. All things were made through him, and without him was not any thing made that was made." (John 1:1-3)

At the beginning, through the embodied expression of God's idea, everything was made beautiful and eternal and perfect. It was only after man directly disobeyed God that things got corrupted. And God had mercy on them afterwards.
His Word was to become flesh; His plan for us was for His will to become manifest in the form of a Man, Christ, to come and die and resurrect with Himself the original intention of creation to those who would accept Him; life eternal with Him in a place not corrupted by sin.

Instead of it being a matter of don't (eating from the tree of knowledge), it became a matter of do (His will).

So again, i say that if your sin causes you to hide from God, you have a gross misconception of Him.

No, in fact, we have confidence from Christ to cover us.
"This was according to the eternal purpose that he has realized in Christ Jesus our Lord, in whom we have boldness and access with confidence through our faith in him." (Ephesians 3:11-12)

"For we do not have a high priest who is unable to sympathize with our weaknesses, but one who in every respect has been tempted as we are, yet without sin. Let us then with confidence draw near to the throne of grace, that we may receive mercy and find grace to help in time of need." (Hebrews 4:15-16)

"And now, little children, abide in him, so that when he appears we may have confidence and not shrink from him in shame at his coming." (1 John 2:28)