This is the 3322nd most frequent Japanese word.
抱える
To hold, carry, or have (e.g., problems, responsibilities).
In this sentence, 抱える is used physically to mean 'to hold or carry something in one's arms.'
その男性は大きな荷物を抱えて駅へ向かった。
The man carried a large baggage and headed to the station.
In this context, 抱える is metaphorically used to mean 'to have or deal with (problems).'
彼女は家族の問題を抱えていた。
She was dealing with family issues.
Here, 抱える is figuratively used to describe an entity undergoing challenges or difficulties.