The line separating worship from veneration is blurry to say the least And even veneration, from a Biblical standpoint, is an overly ambitious stretch. Nowhere in scripture is any special attention given to the Messiah's mother after she had received the visit of the angel to inform her that she was to give birth to the Messiah and then again shortly after by Elizabeth. And that's it with the exception of when the Messiah tells His mother to observe her son in John 19:26. In fact I'm not aware of any scripture where the Messiah pays any special homage to His mother. In fact when her name comes up, the Messiah seems to be a bit irritated.
Luke 2:48-29 -- So when they saw Him, they were amazed; and His mother said to Him, "Son, why have You done this to us? Look, Your father and I have sought You anxiously." And He said to them, "Why is it that you sought Me? Did you not know that I must be about My Father's business?"
Matthew 12:46-50 - - While he yet talked to the people, behold, his mother and his brethren stood without, desiring to speak with him. Then one said unto him, Behold, thy mother and thy brethren stand without, desiring to speak with thee. But he answered and said unto him that told him, Who is my mother? and who are my brethren? And he stretched forth his hand toward his disciples, and said, Behold my mother and my brethren! For whosoever shall do the will of my Father which is in heaven, the same is my brother, and sister, and mother.
John 2:1-4 - - And the third day there was a marriage in Cana of Galilee; and the mother of Jesus was there: And both Jesus was called, and his disciples, to the marriage. And when they wanted wine, the mother of Jesus saith unto him, They have no wine. Jesus saith unto her, Woman, what have I to do with thee? mine hour is not yet come.
Also, when she is included with the disciples and the other believers on the day of Pentecost, she’s not an object of veneration or even a leader in the early church—she’s just one among many. There simply are no biblical examples of anyone ever praying to her, honoring her, or venerating her. It certainly seems strange that the filled with the Holy Spirit New Testament writers basically ignore her if she is to be placed in the exalted position that the Catholic Church places her.