I truly believe that i am lost to forgiveness and will be rejected in the circle of Islam. I have had a child outside of marriage, what good muslim will want to share a life with me. The only people who dont reject me for this are non muslims so where does that leave me as i am still a believer albeit a very lost one.

O' sister may ALLAAH forgive you and Pardon you, and make good your affairs aameen.
This is clearly a case in need of Repenting to ALLAAH.. seek out and learn how to make taubah (repentance) and sister surely do not repeat such grave mistakes. As a muslimah do not go around
exposing your faults to all the worlds. ALLAAH can cover the faults of the Believers as long as that Believer do not expose his/ or her own faults. Sister renew your commitment to LaailahaillALLAAH, and hopefully as I'm typing it came to mind (what land are you in?) In an kuffar
society where the Islamic Laws are far removed from being implemented or applied a case like this can Mercifully slip through the cracks, but sister in an Islamic Land ALLAAH's Order must be
applied by the agreed ruling judges according to the Book of ALLAAH and the way of HIS Rasul, Muhammed ibn Abdullah (alahi salaatul wassalaam).
May ALLAAH guide you and your child, and Believers should not codemn before acquinting themselves with your circumstances. ALLAAH says 'HE IS ABLE to forgive all sins (except) shirk, the Greater Shirks which are Denying HIM after it is HIM who Created us. To ascribe partners to HIM when HE is not in need of any assistance, helper. It takes not an intercessor for HIM to hear the needs of HIS servants.
And dear sister, be careful who you take on as your friend and intimate consolers because as muslims we are told that we are of the religion of our friend! So sister take your friends from the ranks of the muslims and may ALLAAH make you to be good company for the muslims as well, aameen

God forgives those who truly repent inside. Don't allow man to dictate to you what God can or cannot forgive. Talk to God directly, and tell him how you feel. He will forgive your "sins" if you truly are sorry.

You are human and you make mistakes. The purpose of life here on earth is to learn from your mistakes and grow as a human being and hopefully become more enlightened. Don't see this experience is a flaw, but rather, see it as a unique experience given to you by God to learn and grow as an individual.