The allergy is rare so I wouldn't worry but it's not a bad idea to be aware of it since the reaction hits 3-6 hours after eating red meat so the connection isn't obvious. Silkychrome's blog said she had her first reaction a few weeks after a race where she had a huge number of ticks. Wikipedia says the first reaction to meat can take up to 6 months after a tick bite. Silky wasn't the only one to pick up lots of ticks in that race but I think she was the only one to contract the meat allergy. However, one of her teammates came into the race with the meat allergy already.
More from Wikipedia:
There are many different types of ticks in Australia but the one mainly suspected of causing the meat allergy is the Australian Paralysis Tick, which is found in a 20 km strip along the east coast of Australia, where there are lots of people so bites are not uncommon. (Although the meat allergy is *very* uncommon.)
This tick is implicated in a few other diseases similar to the tickborne diseases that exist in North America, including "Lyme-type" disease as Wikipedia calls it. There is disagreement among doctors as to whether Lyme exists in humans in Australia - but regardless, they do say you should get antibiotics if you see early Lyme-type symptoms. Symptoms of some tick-related problems can take weeks or months to appear, although the paralysis toxins would cause symptoms within a few days.
Jay, you might find the article interesting. As in NY, odds are low of any serious problem from a tick bite but they mention specific symptoms where you might seek treatment, e.g. a black scab developing over a bite or flu-like symptoms.