No... you won't be facing any problems. Immigration personals sitting at the Indian Airports will ask for that, just to confirm the traveling person is having a valid return ticket or not. As far as the Qatar immigration personals sitting at the airport or at the immigration department, have nothing to do with your ticket nor will they ask for that. You can extent your mother's one month visa up to 6 months after entering Qatar. You can also extent the date of return journey accordingly.
No... you won't be facing any problems. Immigration personals sitting at the Indian Airports will ask for that, just to confirm the traveling person is having a valid return ticket or not. As far as the Qatar immigration personals sitting at the airport or at the immigration department, have nothing to do with your ticket nor will they ask for that. You can extent your mother's one month visa up to 6 months after entering Qatar. You can also extent the date of return journey accordingly.