'Aloof' in the Bible

Those on the rocky soil are the people who, when they hear, receive and welcome the word with joy; but these have no firmly grounded root. They believe for a while, and in time of trial and temptation they fall away [from Me and abandon their faith].

Nevertheless, woman is not independent of man, nor is man independent of woman.

Before certain men came from James, he used to eat [his meals] with the Gentiles; but when the men [from Jerusalem] arrived, he began to withdraw and separate himself [from the Gentile believers], because he was afraid of those from the circumcision.

Abstain from every form of evil [withdraw and keep away from it].

Nevertheless, the firm foundation of God [which He has laid] stands [sure and unshaken despite attacks], bearing this seal: “The Lord knows those who are His,” and, “Let everyone who names the name of the Lord stand apart from wickedness and withdraw from wrongdoing.”

Take care, brothers and sisters, that there not be in any one of you a wicked, unbelieving heart [which refuses to trust and rely on the Lord, a heart] that turns away from the living God.