Excuse me
There is no excuse for such willful ignorance.
but bacterial resistance to antibiotics is not proof of evolution.
You can repeat that as many times as you like, but that won't make it true. Multiple antibiotic resistant strains of bacteria such as MRSA are a perfect example of evolution in action.
The bacteria that are resistant were already to begin with
Some individual bacteria may have had a mutation making them resistant to begin with, and that resitance was passed on to it's offspring and giving rise to new antibiotic resitant strains of that bacteria. In other words, evolution in action.
If it takes billions of years to evolve
In evolution it's not the number of years, but the number of successive generations. For a long lived lifeform it takes millions of years to achive substantive change. But for a life form which can go through several successive generations in a matter of days or weeks it takes far less time for it to fully adapt to it's enviroment.
how could bacteria be the only organism to evolve in one century when there are thousands of years of human history and biological study without any others?
For starters, bacteria is not a single type of organism, but rather a category that includes hundreds of thousands, if not millions, of different organisms. As for the "one century" part of your question, the reason it's happened in the last century is because that's roughly the same amount that antibiotics came into widespread usage, therefore changing the enviroment of, and placing different selective pressures on, a host of different bacteria that effect humans and other animals that recieve antibiotic therapy.
It's not all that complicated once you take out your earplugs and quit yelling "Goddidit! Goddidit! I can't hear you!"