There are a lot of ways that the government can trace you if you have BTC because the government has almost have all the resources. If they are really eager to trace you if you have BTC they will go with the government agencies which are searching or responsible with the modernization or with the technologies. We all know the BTC is connected with the internet which we can say that it can be easily trace especially if we have a weak protection with our accounts in the web. Well if your government allows you to use BTC you dont need to worry of it because BTC is not an illegal thing.