Should a mother prevent her daughter from wearing the izar (a traditional full-body covering) and praying Fajr (dawn prayer), claiming it attracts suspicion and annoys the state?

If shortening the garment (izaar) and attending the congregational Fajr prayer will lead to a significant harm recognized by Sharia, such as fear for one's life or imprisonment causing excessive hardship, then it is permissible to abandon them due to necessity, provided that the fear is based on a real reason and not merely an illusion.