I believe that God's accessible to everyone.
I agree Jae that God is accessible
for all people ----but all people do not want to be accessible to God ---- it is humans who don't want God in their lives ------Who Rebel and disobey out of their own free will that God has given them ------God Agape's all people but it is humankind who Hate---mock and reject God -----
As far as Prayer goes -----unfortunately Sin and Iniquity lies as a barrier for humans to access God for anything and that includes Prayer -----Preach truth Jae ---don't give humans false hope ----God is Holy and cannot entertain sin or look upon Iniquity and will not answer unrighteous prayers as He clearly states in His word ----Don't sugar coat scripture -----it is bad for the soul ---this scripture still stands today ----God doesn't change His Mind back and forth and Scripture clearly says He does not Show Favoritism ---so if he does any of theses 2 things --he would be a liar ----
Now that being said God is God and can and does use unbelievers to bring about His plan to do His Will ---which is still playing out today -----
Even Born again Christians can block their Prayers from God hearing by praying with wrong motive ----and not verbally denouncing their sin when they miss the mark ------same as allowing Doubt --Fear ---worry ----anxiety --and anger ---to invade our thought life -----all blocks our prayers from being heard and answered -----
You should read all -of scripture below --I just posted some of it
Why should People who Rebel and Sin against God even think they should have their Prayers answered ----they don't give God the time of day yet expect God to be at their Beck and call ----this just baffles my Mind ---ego at play here in my view ---
-Isaiah 59 NIV
Sin, Confession and Redemption
59
Surely the arm of the Lord is not too short to save,
nor his ear too dull to hear.
2
But your iniquities have separated
you from your God;
your sins have hidden his face from you,
so that he will not hear.
3 For your hands are stained with blood,
your fingers with guilt.
Your
lips have spoken falsely,
and your tongue mutters wicked things.
4 No one calls for justice;
no one pleads a case with integrity.
They rely on empty arguments, they utter lies;
they conceive trouble and give birth to evil.
5 They hatch the eggs of vipers
and
spin a spider’s web.
Whoever eats their eggs will die,
and when one is broken, an adder is hatched.
6 Their cobwebs are useless for clothing;
they cannot cover themselves with what they make.
Their deeds are evil deeds,
and acts of violence are in their hands.
7
Their feet rush into sin;
they are swift to shed innocent blood.
They pursue evil schemes;
acts of violence mark their ways.
8 The way of peace they do not know;
there is no justice in their paths.
They have turned them into crooked roads;
no one who walks along them will know peace.