It is acceptable to call yourself a Christian and then to say to which church you belong, but as soon as you tell people that you belong to Jesus Christ and you are not affiliated to a church, then they get suspicious of you. They reject you because they do not know Jesus Christ. To them Jesus Christ is not real. They can understand the concept of Christianity and of church and of Bible believing but not of being a disciple, being a follower of Jesus Christ.
We cannot serve two masters. We will either love the one and despise the other. We cannot belong to a church, to a group AND to Jesus Christ. We either belong to the one or to the other.
If you belong to Jesus Christ and you follow Him you will be rejected and persecuted. People will disassociate with you. Do you belong to a church, or a group, or a ministry OR do you belong to Jesus Christ? Who are you following? People or Jesus Christ?
May Jesus bless you.