Aren't South Americans supposed to be good at football?
Anyway, the match was brought to a standstill for 15 whole minutes as the alpaca - who had escaped from a local farm, and is called Oscar - joined in the action.
If only he had the footballing capabilities of his more illustrious namesake, the 29-year-old former Chelsea star.
So, how do you get a rogue alpaca off your football pitch?
Well, they had a decent go at leading it away with some food, but that strategy didn't work out in the end.
In the end, the farmer showed up and deployed his expertise to get Oscar off the pitch so that the match could continue.
The sides were meeting in the West Yorkshire League Premier Division, and Ilkley's manager Simon Armstrong confirmed that the Carlton pitch is "renowned" for having alpacas nearby.
He told BBC News: "After 35 minutes it escaped, came through the entrance and proceeded to get on the pitch. The referee stopped the game,
"People didn't want to go near it in case it kicked. The farmer was then called and eventually it was tempted back in the field."
Carlton Athletic confirmed that there are a number of farm animals that are kept in the vicinity of their ground, but said that this is the first time that one has broken free and run amok.
The club's chairman, John Flynn, explained: "I don't know he got out, there must be a little gap in the barrier somewhere as we've seen some chickens here as well,
"Oscar's really inquisitive, he was enjoying himself and running up and down the pitch, he wasn't distressed - a couple of players said he was our man of the match."
To be fair, that might be a decent shout, as Ilkley eventually ran out as 2-0 winners.
Ilkley chairman Richard Giles told PA: "I've been watching football and playing football 40 years and never seen anything like this."
He went on to say that the club might now look to get an alpaca mascot, but it wouldn't be Oscar, as he's obviously a Carlton fan.
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