Ellen White does not explicitly state that Timothy was afraid. However, she does mention that Paul, while imprisoned and awaiting his fate, feared that Timothy "may hesitate through fear of the dangers to be encountered" when coming to visit him in Rome (see
LP 320.1). Paul exhorted Timothy to be faithful and reminded him, "God hath not given us the spirit of fear; but of power, and of love, and of a sound mind" (
AA 499.3). This suggests that Paul was aware of the possibility that Timothy might experience fear, especially considering the dangers and responsibilities he faced, but Ellen White does not directly say that Timothy was afraid.
Instead, she describes Timothy as having a "mild, yielding disposition" and notes Paul's concern that this might lead him to "shun an essential part of his work" (
LP 321.1). Paul’s counsel to Timothy was to encourage steadfastness and courage, not because Timothy was necessarily afraid, but because the circumstances were perilous and challenging.
In summary: Ellen White does not say directly that Timothy was afraid, but she does indicate that Paul was concerned Timothy might be tempted to fear or hesitate due to the dangers and responsibilities before him.
References:
- Ellen G. White, The Acts of the Apostles, p. 499.3
- Ellen G. White, Life Sketches of Paul, pp. 320.1, 321.1