Acts 11:
Can someone be a Christian who does not consider themselves a disciple?
Not in Paul's time, disciples and Christians were synonyms.
What are the actions/attitudes that you would expect from a disciple?
John 14:
Strong's Greek: 3101. μαθητής (mathétés) — 263 Occurrences26b So for a whole year Barnabas and Saul met with the church and taught great numbers of people. The disciples [G3101] were called Christians first at Antioch.
Can someone be a Christian who does not consider themselves a disciple?
Not in Paul's time, disciples and Christians were synonyms.
What are the actions/attitudes that you would expect from a disciple?
John 14:
A disciple follows Jesus and does what he did. Interestingly the word "disciple" is rarely used by anyone except by Jesus and Luke in the NT. Paul never used the word. The word μαθητής is not in LXX at all.25Now great crowds accompanied him, and he turned and said to them, 26“If anyone comes to me and does not hate his own father and mother and wife and children and brothers and sisters, yes, and even his own life, he cannot be my disciple. 27Whoever does not bear his own cross and come after me cannot be my disciple. >33 So therefore, any one of you who does not renounce all that he has cannot be my disciple.