Yes but in spite of Sir Thos's rather muddled desire to treat Fanny as a lady, (ie she's not a Miss Bertram and must never presume to think of herself as my daughters' equal but I sitll wnat to treat her as a gentlewoman) it seems pretty clear that Fanny has become a "poor relation" in status at thte Park. She is certainly NOT treated as anything like an equal to the girls, and I think that any idea of her having a coming out or being part of society like the Bertram girls has now just been dropped...if it ever was seriously mooted..
She's really an unpaid "hired companion" to Lady B and gofer for Mrs Norris..