“Because your loyal love is better than life,
My own lips will glorify you.”
~Psalm 63:3

What is “loyal love”?

The glossary in the New World 2013 translation defines it as:
“[…] Rendered from the Hebrew word cheʹsedh, referring to love motivated by commitment, integrity, loyalty, and deep attachment. It is often used in connection with God’s love for humans […].”
How is Loyal Love different from God’s love toward humankind as a whole?
It is “kindness that lovingly attaches itself to an object until its purpose in connection with that object is realized. […] It is an act that preserves or promotes life. It is intervention on behalf of someone suffering misfortune or distress. It is demonstration of friendship or piety.”

(“Loving Kindness of God.” Watchtower Online Library. Christian Congregation of Jehovah’s Witnesses, Web. 11 July 2016).

The marginal reference in Psalm 63:3 takes us to Psalm 30:5:

Because being under his anger is only for a moment,
But being in his favor is for a lifetime.
Weeping may come in the evening, but in the morning, there is a joyful cry.

Jehovah God is a compassionate Father who knows we are prone to sin and error.
He actively seeks out His servant who has derailed from a course of righteousness, proving his loyalty and kindness toward him.
God understands we are imperfect but He also knows we can change for the better.
So He does not give up hope in His servants and He does not abandon them.
If one feels he has failed God and returns to Him, he can continue to glorify God on account of His loyal love.