Some tissue paper went down the wrong pipe when I inhaled it. Will I be okay?

I was having a very bad nosebleed which I have in response to allergies or stress. I was holding tissue paper on my nose, and as I inhaled through my mouth some tissue paper broke off the tissue I was using and went down the pipe to my lungs. There was the normal coughing spell, but I still feel the need to cough, and it feels like my airway is inflamed now. I have already drunk a lot of water. Is this normal? Will it go away?