I found this extract from a Watchtower article on the subject. Notice the way that the reader is led to a WT biased conclusion, although they do not actually say what you have to do. The message is clear though. I copy/pasted just the first and last sections.
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w87 9/1 p. 12 "A Time to Speak"—When? ***"A
Time to Speak"—When?MARY works as a medical assistant at a hospital. One requirement she has to abide by in her work is confidentiality. She must keep documents and information pertaining to her work from going to unauthorized persons. Law codes in her state also regulate the disclosure of confidential information on patients.
One day Mary faced a dilemma. In processing medical records, she came upon information indicating that a patient, a fellow Christian, had submitted to an abortion. Did she have a Scriptural responsibility to expose this information to elders in the congregation, even though it might lead to her losing her job, to her being sued, or to her employer’s having legal problems? Or would Proverbs 11:13 justify keeping the matter concealed? This reads: "The one walking about as a slanderer is uncovering confidential talk, but the one faithful in spirit is covering over a matter."—Compare Proverbs 25:9, 10.
Situations like this are faced by Jehovah’s Witnesses from time to time. Like Mary, they become acutely aware of what King Solomon observed: "For everything there is an appointed time, even a time for every affair under the heavens: . . . a time to keep quiet and a time to speak." (Ecclesiastes 3:1, 7) Was this the time for Mary to keep quiet, or was it the time to speak about what she had learned?
Circumstances can vary greatly. Hence, it would be impossible to set forth a standard procedure to be followed in every case, as if everyone should handle matters the way Mary did. Indeed, each Christian, if ever faced with a situation of this nature, must be prepared to weigh all the factors involved and reach a decision that takes into consideration Bible principles as well as any legal implications and that will leave him or her with a clear conscience before Jehovah. (1 Timothy 1:5, 19) When sins are minor and due to human imperfection, the principle applies: "Love covers a multitude of sins." (1 Peter 4:8) But when there seems to be serious wrongdoing, should a loyal Christian out of love of God and his fellow Christian reveal what he knows so that the apparent sinner can receive help and the congregation’s purity be preserved?
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w87 9/1 pp. 14-15 "A Time to Speak"—When? ***Employers have a right to expect that their Christian employees will ‘exhibit good fidelity to the full,’ including observing rules on confidentiality. (Titus 2:9, 10) If an oath is taken, it should not be taken lightly. An oath makes a promise more solemn and binding. (Psalm 24:4) And where the law reinforces a requirement on confidentiality, the matter becomes still more serious. Hence, before a Christian takes an oath or puts himself under a confidentiality restriction, whether in connection with employment or otherwise, it would be wise to determine to the extent possible what problems this may produce because of any conflict with Bible requirements. How will one handle matters if a brother or a sister becomes a client? Usually such jobs as working with doctors, hospitals, courts, and lawyers are the type of employment in which a problem could develop. We cannot ignore Caesar’s law or the seriousness of an oath, but Jehovah’s law is supreme.
Anticipating the problem, some brothers who are lawyers, doctors, accountants, and so forth, have prepared guidelines in writing and have asked brothers who may consult them to read these over before revealing anything confidential. Thus an understanding is required in advance that if serious wrongdoing comes to light, the wrongdoer would be encouraged to go to the elders in his congregation about the matter. It would be understood that if he did not do so, the counselor would feel an obligation to go to the elders himself.
There may be occasions when a faithful servant of God is motivated by his personal convictions, based on his knowledge of God’s Word, to strain or even breach the requirements of confidentiality because of the superior demands of divine law. Courage and discretion would be needed. The objective would not be to spy on another’s freedom but to help erring ones and to keep the Christian congregation clean. Minor transgressions due to sin should be overlooked. Here, "love covers a multitude of sins," and we should forgive "up to seventy-seven times." (Matthew 18:21, 22) This is the "time to keep quiet." But when there is an attempt to conceal major sins, this may be the "time to speak."