Proper (or mature) relationship with God involves recognizing good as the ultimate good. (which might entail some of the other features on this list, like desiring God, granting God's rightful authority in allowing suffering, granting God's rightful authority over all power in general).1
Proper (or mature) relationship with God involves a genuine worshiping, revering, and desiring of God, not merely treating God as a means to an end.1 (E.g. a relationship where the individual is not worshipping and praying etc. …
• …just to escape punishment.
• …just to secure blessings or eternal bliss.
• …just to enjoy religious experiences.
• …just some combination of the above things. This is relevant because, for some individuals, even if they believed in God, they would perpetually be in relationship with God primarily or exclusively for reasons that don't involve a proper way of relating to and desiring God.
• Rabia Basri: “O God! If I worship You for fear of Hell, burn me in Hell and if I worship You in hope of Paradise, exclude me from Paradise. But if I worship You for Your Own sake, grudge me not Your everlasting Beauty.”
Or more canonically: >• Westminster shorter catechism: “Man’s chief end is to glorify God, and to enjoy him forever.” As an interesting sidenote: some argue that desiring God is satisfied merely in loving “the good.”
Proper relationship with God involves openness to moral transformation (deeply loving/worshipping God more than their sin or the world). This is relevant because a relationship lacking this property would improper, such that it is either of diminished value, no value, or negative value.1
• Matthew 6:24 -- “No one can serve two masters; for either he will hate the one and love the other, or he will be devoted to one and despise the other. (cf. Luke 16:13)2
• Revelations 3:16 -- So because you are lukewarm, and neither hot nor cold, I will spit you out of My mouth.
• John 14:21-24 -- He who has My commandments and keeps them is the one who loves Me; and he who loves Me will be loved by My Father, and I will love him and will disclose Myself to him.” Judas (not Iscariot) said to Him, “Lord, what then has happened that You are going to disclose Yourself to us and not to the world?” Jesus answered and said to him, “ If anyone loves Me, he will keep My word; and My Father will love him, and We will come to him and make Our abode with him. He who does not love Me does not keep My words; and the word which you hear is not Mine, but the Father’s who sent Me. This mindset which puts love of the world first over love of God is repeatedly denounced: >• 1 Corinthians 1:18-21 -- For the word of the cross is foolishness to those who are perishing, but to us who are being saved it is the power of God. ... Has not God made foolish the wisdom of the world? [E.g. “pursuing pleasure is best!” (See: What is wordly wisdom?)] For since in the wisdom of God the world through its wisdom did not come to know God, God was well-pleased through the foolishness of the message preached to save those who believe."
Proper (or mature) relationships with God involve recognizing that only God (being all-good) ought to have all power (and not growing jealous of that). For any potential relationship with God, this is a living danger.1
Proper (or mature) relationships with God trust in God's goodness in His decisions regarding world suffering, both the amount and usage
Appropriate relationships display cognitive modesty and humility before God, as the rightful chooser of God's own self-revelation. For some individuals, if they came to belief in God, they would only do so having condescendingly sent God through impersonal hoops of their own making, like a circus animal. Making God submit and cow to their demands could permanently and negatively affect the divine-human relationship.1, 2