It is true God is Love.
But God is also jealous
I found 18 different occurrences where God is called Jealous, or the scripture refers to His Jealousy.
Exodus 34:14 even says His name is Jealous;
For thou shalt worship no other god: for the LORD, whose name is Jealous, is a jealous God:
God is also just. God is angered at sin.
John 3:36 - He that believeth on the Son hath everlasting life: and he that believeth not the Son shall not see life; but the wrath of God abideth on him.
So God is not just Love.
He is many things.