This is the 4839th most frequent Russian word.
имеющей
"Having" or "possessing."
In this sentence, 'имеющей' is a participle describing the girl, indicating she possesses potential.
Девушка, имеющей большой потенциал, была замечена в музыкальной школе.
The girl, having great potential, was noticed at the music school.
Here, 'имеющей' is used as a participial adjective to describe the information that has relevance to the case.
Информация, имеющей отношение к делу, была представлена на рассмотрение.
The information, relevant to the case, was presented for review.
'Имеющей' in this case relates to the company, portraying the possession of good reputation.