Can you travel with a online savings account and 10 dollar?
Sure the money would be safer in a high yield savings account then in the hands of your girlfriend but what is worth more, making your girlfriend happy or money in a savings account online?
So the best solution for you is to tell the girl that by saving the money online you can afford to take her hotel anglo americano roma later this year. That way you make her happy and you do not loose money and in a few years your 10 dollar will become enough to travel to the hotel anglo americano roma.