<human>: Could you distill the essence of the text into 1-3 sentences?

My cat has chronic asthma. I give him 5mg of prednisone about every 2-3 days depending on his coughing fits.

Because everything was closed tonight and I am dumb, I had to buy his canned food (he only eats canned) at a mini mart, and they didn't have the right kind. I *knew* from experience if I change the type of food I give him, he'll puke it up, but I did it anyway.

Well, he had a couple coughing fits before I fed him, but he was hungry and I'm off tomorrow so I let him eat, then gave him a pill about 15 minutes after.

He puked up his food about 30 minutes later. Obviously the pill wasn't visibly in the food puke as they dissolve pretty quick. 

My concern is, I have no idea how much if any of his steroids got into his system before he ralphed. He's had one cough since (not unusual, pills sometimes take 4 hours to work).

Basically I don't know enough about how pills are absorbed into the system, so I have no idea if it's safe to give him another dose, or half a dose, before the minimum 10 hour mark has passed.

It's mostly an issue because once his fits get going, they can last for hours and he is at risk of collapsing a lung node if I dont med him.
<bot>: cat puked up food after I pilled him, roughly 30 min, is there any chance the meds got in him or is it likely he'll need another dose?