This is a fair question, but a question that seems to be built upon a common misunderstanding. Allow me to explain. God does not send people to hell because they “do not believe in Jesus,” rather people send themselves to hell because they stand guilty before a holy, righteous, and just God after having freely rejected their only means of salvation. The only means of salvation is Jesus’ atoning death on the cross for mankind’s sins provided by God. Jesus’ death was necessary (Heb. 9:22) because all people have sinned (Rom. 3:23), and thus stand guilty before a holy, righteous God. To sin (whether it be through lust, greed, idolatry etc.) is a choice people make (Jam. 1:13-16) that violates the moral law that God has written on our hearts and placed within our consciences (Rom. 2:15). And because sinning is a violation of an eternal, infinite God and his laws it requires eternal punishment (Mat. 25:46); punishment that entails eternal separation from God. God is righteous in his judgment (Psa. 7:11) and this means that he cannot simply ignore sin. For God to merely ignore sin and thus allow people a free pass into heaven is a violation of true justice, and if this were to happen then we could accuse God of being unjust, yet he is just (Deu. 32:4). As mentioned it is important that we realize to sin is to deliberately and freely reject God. This rejection will not stop at the grave (an understanding that many people seem to have), but will rather continue into eternity. People who send themselves to hell do not want to be in the presence of God, and God has honoured their decision.
So, will God send me to hell for not believing in Jesus? No, but we will send ourselves to hell if we freely reject his means of salvation through Jesus’ death on the cross. Whether we face eternal separation from God, or eternal intimacy with him is ultimately up to us to decide.