It is best to divide the clauses somewhat differently:

But as for me, my prayer is unto thee, O Jehovah,

At the time thou pleasest, O God, in the abundance of thy lovingkindness,

Answer me in the truth of thy salvation.

In an acceptable time, lit. a time of good pleasure(Psalms 40:13; Psalms 51:18) is most naturally connected with answer me, as in Isaiah 49:8, "In an acceptable time have I answered thee." He cannot tell that it is yet God's will to deliver him, but he can be sure that the time will come, for God has revealed Himself to be a God "abundant in lovingkindness and truth" (Exodus 34:6), and if He is true to His character, He must save His servant. Cp. Psalms 51:1.

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