Jiang He didn't get a chance to take it before Xu Qing had already grabbed the sword.
Having Jiang He stab with the sword would probably mean he'd end up back in the hospital just as his wounds had healed.
Jiang He could kill a man with his bare hands, let alone with a weapon... Xu Qing didn't dare to ask Jiang He for help when testing the Chain Armor but instead chopped at it himself with a kitchen knife.
One reason was the fear that Jiang He would overestimate the armor and fail to control his strength. The second was the concern that Jiang He's idea of an 'injury' and his were not the same.
In her eyes, the wound on Qin Hao's stomach was nothing serious; a wrap with a cloth strip and he'd be hopping around as usual, while in the eyes of modern people, any feeling of pain, whether it's bruising or bleeding, is undesirable.