The Tories refused to put tariffs on Chinese steel because they constantly go to China with their begging bowl for investment, including, the £1 billion investment in Manchester. May got a ticking off from the Chinese at the G20 about Hinkley point and on her return immediately did a u-turn on Chinese involvement. If the UK put anti WTO tariffs on Chinese steel, like the US does, then there would be repercussions from the Chinese regarding investment.
Due to tariffs on steel imports, US steel prices have gone up but with side effects.
"New tariffs on imports are boosting steel prices in the U.S., offering a lifeline to beleaguered American steelmakers but raising costs for manufacturers of goods ranging from oil pipes to factory equipment to cars". Which is why US manufacturers are lobbying against tariffs. Take from Peter to pay for Paul. The same would happen in the UK, impose tariffs or the quantity imported and the price will rise.