1.There is a general empathy which everyone has, except maybe psychopaths.
2.There is a stronger trait of empathy, physical in nature, that notices the least characteristic in a mood. Some seem to have been born with it, others have developed it over time due to environment.
3. There is a spiritual empathy, where one feels the needs of others to minister to them. (rejoice with them that rejoice, weep with them that weep)
4. There is spiritual discernment, given by the Holy Spirit to "know" a situation/need that's physically & emotionally unseen, sometimes by even the person with it. This is not empathy, though compassion will be present in the believer making it look so.
5. There is a supernatural (psychic) ability to "know" things about others with or without empathy. This ability is demonic, for the people possessing this ability usually aren't saved. God won't put His spirit on an sinner, though He did it at least twice in the Bible. It's not the norm.
This being said, how can one tell the difference? IF the ability is a supernatural one, long before salvation, it is demonic. I've read of several people having psychic abilities after salvation, & when they prayed about it to leave it would, never to return.
Many thought to be empaths are merely "good readers" of a person's mannerisms. (fake psychics & magicians)
I agree with Ugly totally on this one..... NEVER use the word "empath" as the title of a christian with a spiritual gift! Already worldly, demonic techniques are used in the church today such as yoga, meditation, & out of body experiences. Then there's the kundalini experience in charismatic circles. These have been accepted with open arms because some "leader" in the church taught it as acceptable doctrine. Using such names & phrases will make it acceptable to the church, allowing demons access to the body of Christ.
It is very easy to pray, "Lord, if this isn't of you, take it away, & if it is, multiply it on me to be a greater blessing. Because of the complications of discerning which is which, my advice is to let the Head of the Church have the last word on it thru prayer.