With all thats going on, a simple injection is probably helpful. You will be starting on a low dose, and the doc will probably raise it gradually. The Metformin is not very good at reducing glucose levels - it is there mainly to protect your heart and blood plumbing. It may make the side effects of the other drug worse, and it may be necessary to hold back on it if you start getting gastric events. It is not an essential drug, but helpful if you tolerate it.
Drugs like Trulicity are mainly weight loss drugs, and they do this in two ways. firstly they restrict the amount you want to eat by pretending you are full. secondly overeating is punished by nausea and other nasty gastric distress. So it is like a weight loss diet with a strict taskmaster built in. Again, some like the simplicity of this approach since it is guilt free, and the med gets the blame.
However, if you are rushing around doing stuff, gastric distress is not what you want or need. So be warned, the little room becomes an important stopping point for some on this drug.