Contradiction with Proverbs 21:13
Proverbs 21:13 suggests that ignoring the cries of the poor will lead to one's own cry not being heard, contrasting with Psalms 108:6 which implies God will save with His right hand in response to His beloved.
Proverbs 21:13: Whoso stoppeth his ears at the cry of the poor, he also shall cry himself, but shall not be heard.
Contradiction with Lamentations 3:44
Lamentations 3:44 indicates that God may cover Himself with a cloud to prevent prayers from passing through, suggesting a possibility of prayers not being answered which contradicts the assurance of being saved in Psalms 108:6.
Lamentations 3:44: Thou hast covered thyself with a cloud, that [our] prayer should not pass through.
Contradiction with Isaiah 1:15
Isaiah 1:15 explains that when many prayers are made, God may hide His eyes if hands are full of blood, contradicting the notion in Psalms 108:6 of God saving those He loves without mentioned conditions.
Isaiah 1:15: And when ye spread forth your hands, I will hide mine eyes from you: yea, when ye make many prayers, I will not hear: your hands are full of blood. [make...: Heb. multiply prayer] [blood: Heb. bloods]
Contradiction with James 4:3
James 4:3 mentions that prayers can be asked amiss and hence not receive an answer, contradicting the idea of God responding favorably to His beloved in Psalms 108:6.
James 4:3: Ye ask, and receive not, because ye ask amiss, that ye may consume [it] upon your lusts. [lusts: or, pleasures]
Paradox #1
Psalm 108:6 talks about asking for God's help and deliverance to save those He loves. A possible contradiction might arise if someone questions why a loving and all-powerful God needs to be asked to save people instead of acting benevolently at all times without being prompted. Some might see this as inconsistent with the concept of an all-caring deity.