This is the 15671st most frequent Russian word.
принимающей
"Receiving" or "hosting" (feminine form, singular, adjectival/participle).
Adjective used to describe a party that receives or hosts others.
Принимающей стороне было важно обеспечить комфорт для гостей.
The hosting party found it important to ensure comfort for their guests.
Adjective modifying 'family' to emphasize their role of reception or hosting at the moment.
Общество приветствовало принимающей семью за её добродетель.
The community applauded the welcoming family for their virtue.
Present participle of the verb 'принимать', used as an adjective to describe the action of the subject, 'woman', at the moment of 'receiving'.