A Bible Question: Does God Stop Listening?

Psalm 32:6 "Therefore let everyone who is godly offer prayer to you at a time when you may be found; surely in the rush of great waters, they shall not reach him."

Question: Isn't that saying that sometimes God isn't listening? What am I missing?

The main point here connects with verse 5: there will come a time when it is too late to repent and be forgiven. Both in our death and God's final judgment of us.  But also on earth, God brings consequences for our sins after a time if we don't change in time.

The second half of the verse is tricky and can be read two ways.
1. "They" refers to the godly's prayers. The point then is that the prayers of confession are too late - only to stop the consequences, not to really repent. Hebrews 12:16-17 would be an example of this. I don't read the verse this way, because it says "the godly," and it's the ungodly who act this way.

2. "They" refers to the waves that won't reach the godly. Verse 7 seems to confirm this. This isn't an absolute: "the godly will never have trouble, and be spared all consequences of their sin." But there is an ultimate sparing and mercy from God to His people.