Rhoda attended the Hampstead Physical Training College. After completing the course in 1895, she started a health centre called the Hygienic Home for Ladies at New Cross Farm in Somerset.
She then moved her establishment to The Leasowes, Halesowen from where, in 1879, she launched Anstey Physical Training College. Rhoda was a founder member of the Ling Association and by 1907 she had relocated her college to Chester Road, in Erdington.
Rhoda was a keen supporter of the women’s suffrage movement and a member of the Gymnastics Teachers’ Suffrage Society.