Ideally the tariffs should be removed bilaterally.
As far as I know Australia, which has a free trade deal with US, does
not** impose tariffs on US. The argument for the 10% tariff on Australian goods exported to US centres not on tariffs, but on biosecurity.
Because Australia is one big island, without any land borders, we are in the fortunate position of being able to avoid some animal and plant diseases because of our biosecurity laws and the diligent work of the customs people.
We are free of foot and mouth disease in our cattle but if it got loose in the wild buffalo in the north then there would be no way we could avoid it spreading to beef cattle herds. We don't have the form of mad cow disease that causes death in humans and for that reason I was not allowed to donate blood to the Red Cross after returning from UK decades ago. For the same reason we have a prohibition on imported beef from US.
If that is a problem for US beef producers then it could easily be resolved by negotiations over whether the ban could now be lifted. Imposing a 10% tariff on all Australian imports to US is overkill and in violation of the Australia/US Free Trade Agreement entered into on January 1, 2005.
The Australian government is not going to respond in kind, but neither will it allow a biosecurity measure to be used to justify a 10% tariff on all goods we ship to US.
There are some here who want the government to respond using the US bases in Australia as a bargaining chip but our current PM has a cool head and has ruled out that kind of retaliatory action.
Our response will be to look for other markets. We'll just sit this one out, just as we did the Chinese prohibition on our seafood and wines. It didn't work for the Chinese but the need to save face meant that it went on for several years.
not *** an edit, because I left this important word out. A Free Trade Agreement eliminates tariffs between all members of the FTA. It is possible that, by negotiation and agreement, some commodities could be excluded from the FTA.