No, it's not, and will soon rot; well spotted!
It should really be taken out and grown in a pot; you don't want to risk having too much pollution in a tank that small
thank you! i didnt even know you could get the wrong plants, i have so much to learn!, i blame pets at home as they had loads of variety all in one section and they never said anything -sigh-
although definitely cant afford it and i have no space! luckily my friend who lives in the road next to me has a much much much larger tank.But we don't know whether the OP has the time, space, money or inclination to get a larger tank.
i am debating whether to take it back to the shop as they didn't tell me it was going to get massive O_O but it definitely the culprit i caught it this morning going after one of the mollys!