First i just want to thank you for making a kind response without a single personal attack.
Secondly, 1 Corinthians 11:4 is nowhere referring to a trinity God or God the son, so it is only through a very strong example of eisegesis that the trinity is being read into this verse and i don't see why you would use it as a proof text.
In my opinion, if someone believes that God is a trinity then based upon the overwhelming preponderance of what the bible actually says throughout thousands upon thousands of verses and upon the Lord Jesus' very own words, it is they who have invented another Jesus.
Eisegesis (/ˌaɪsəˈdʒiːsəs/;) is the process of interpreting a text or portion of text in such a way that the process introduces one's own presuppositions, agendas, or biases into and onto the text. This is commonly referred to as reading into the text.
God bless you and thank you again for your kind response.