A Biblical definition of worship essentially means recognizing and dwelling on the goodness of God's character and His actions.
Doing that is part of being free from sin and death. Because you cannot put faith in God if you don't first trust He is good.
Worship is merely an expression of that truth by you.
A Biblical case can also be made that it is through that process of worship that we become more like God, freed from the effects of sin in this life.
Conversely, worshipping demons would have the opposite effect on you.
Given that reality, the God of the Bible wants you to worship truth (He is truth) for the sake of your salvation from sin and to have an abiding relationship with God (which was your created purpose). As opposed to being separated from God through sin for eternity.
To put it simply: God wants you to worship Him, rather than demons, because He loves you and therefore wants what is best for you.
But understanding why the two are linked first requires a Bible based understanding of what worship really is and what it means for your salvation.
Many today have a wrong interpretation of God's command to worship Him alone. They think it must be for some unrighteous motivation like selfish vanity. The reality is He says it for our sake, for our benefit, so we will be protected from sin and death.