No as there is only 3 weeks left of teaching hours in the semester and would have to pay rent for the 3 weeks between semesters and would be pretty much alone and aged 18 I did not want her to be in this position, so she is going beginning of January, I'll find out then what dates will be on the study permit, I expect them to be the dates as indicated in her letter of introduction ie 31/8/20-31/8/24 (it will end earlier if she finishes studies earlier). All 5 of her classes were supposed to be in person this semester, but she had to swap onto live online ones and had to drop 2 obligatory in person classes which cannot be done online so she's now behind her graduation schedule and has only just started. She should be doing all in person classes from January. I know there are few universities doing in person, but where the university is, it's remote and has had little covid infections, the presence of the students hasn't made a difference.
One thing the letter of introduction does not mention is the start date of the ETA but it mentions the end date as 20/10/2025 but as the ETAs are 5 years validity, I think it can be taken the ETA starts 20/10/2020.