If there is a slot availability at 06:10 sure, But I think kovai should leave then at 06:20 and sapthagiri at 06:25 AM if that is the case.
Chennai people could reach if its beyond 06AM but not less than that. No EMU local that would reach before 05:45 AM. 06:10 should work too. Infact MAS to RU will get good patro if it leaves at 06:10 cause there are lot of tirupathi travelers looking for speed train from MAS to RU