It is not unusual (there has always been a mail order bride industry here) but the government takes it serious so you will be scrutinized for a couple of years.
It is not something you want to do lightly. It sounds like that will not be a problem, however, any marriage is "work!" Obviously, no one can predict the future but if your concern is her random deportation without cause then I don't think that should be an issue. I don't know how old the daughter is but she will have to understand the "rules and regulations" as well until such time as she becomes a citizen.
Good Luck