1.

How long wilt thou forget me, O LORD? for ever? how long wilt thou hide thy face from me?

How long . . . ? = Until when? Figure of speech Erotesis. App-6 . Four times repeated is the Figure of speech Anaphora. App-6 .
forget . . . face. Figure of speech Anthropopatheia. See Psalms 9:12 , Psalms 9:17 , Psalms 9:18 , and Psalms 10:11 , Psalms 10:12 .
LORD. Hebrew. Jehovah. App-4 .

2.

How long shall I take counsel in my soul, having sorrow in my heart daily? how long shall mine enemy be exalted over me?

my soul = myself (emph.) Hebrew. nephesh. App-13 .

3.

Consider and hear me, O LORD my God: lighten mine eyes, lest I sleep the sleep of death;

hear = answer.
Lighten mine eyes = Revive me.
sleep the sleep of death = sleep my last sleep. Hebrew Figure of speech Polyptoton. App-6 .

4.

Lest mine enemy say, I have prevailed against him; and those that trouble me rejoice when I am moved.

5.

But I have trusted in thy mercy; my heart shall rejoice in thy salvation.

trusted = confided. Hebrew. batah. App-69 .
mercy = lovingkindness, or grace.

6.

I will sing unto the LORD, because he hath dealt bountifully with me.

dealt bountifully with = compensated.