She is very seasoned in dealing with people and matters.
Tips
usage
Both verb ('to gain experience by going through things') and adjective/noun ('experienced, well-seasoned'). Slightly more literary than 锻炼 ('to train / temper'); 历练 emphasizes accumulated real-world exposure rather than deliberate training.
memory
历 = 'pass through / go through' (as in 经历, 历史); 练 = 'to drill / refine'. So 历练 = 'go through and be refined' - exactly what life experience does to a person.