With Rome and Galatia all struggling with pagan influence, we would expect such problems were in many cities.
Ephesus was no different. There were false leaders in Ephesus beginning to instruct the church.
1Ti 1:3 As I besought thee to abide still at Ephesus, when I went into Macedonia, that thou mightest charge some that they teach no other doctrine,
1Ti 1:4 Neither give heed to fables and endless genealogies, which minister questions, rather than godly edifying which is in faith: so do.
1Ti 1:5 Now the end of the commandment is charity out of a pure heart, and of a good conscience, and of faith unfeigned:
1Ti 1:6 From which some having swerved have turned aside unto vain jangling;
1Ti 1:7 Desiring to be teachers of the law; understanding neither what they say, nor whereof they affirm.
The rise of competing doctrines was becoming very clear throughout the empire.
Even science, as the world grew to reflect a scientific approach under the Greeks and Persians, became a means for refuting Christianity.
1Ti 6:20 O Timothy, keep that which is committed to thy trust, avoiding profane and vain babblings, and oppositions of science falsely so called: