The writer may state his conclusion at the beginning of the Psalm- 41:1-3.

How blessed is the one who considers the helpless- 41:1
Then the text gives six (6) lines to show how he will be blessed- 41:1b-3.

David's speaks- 41:4

His enemies take center stage- 41:5-9. The psalm mentions "enemies" 41:5, "enemy"- 41:11, and those "who hate me" 41:7. The plot and plan against David. They gossip about him. They anxiously await his death. 

Be gracious to me, David says- 41:10.  The plea for God to be gracious in 41:4, 10 surrounds the treachery of his enemies in 41:5-9.

He prays God will raise him up- 41:10.

The psalm ends book 1 of the Psalms. Each of the books ends on strong notes of praise to God- 41:13; 72:18-19; 89:52; 106:48; 146-150.

How does Jesus fulfill the Psalm?
41:9 is quoted and applied to Judas by Jesus in John 13:18
41:1-3 Jesus did not seem to experience the deliverances promised to one who helps the helpless.
41:5-9 Jesus did however experience all the hatred and opposition this psalm speaks of David receiving. 

41:10 However, God did raise Jesus up and fulfilled all these promises through the resurrection.