The dangling thing you see under the bike is a vent tube for your gas tank and has nothing to do with your battery tender wire which is zipped tied to some other wires. Most new bikes do not come with the battery tender wire attached. I mounted my tender wire up higher on the frame which will stay a lot cleanrer than the location that yours in mounted.
I don't know how else to say this so I will not beat around the bush for your safety in mind. This bike is not a beginers bike. It is a very hyper sports orientated machine that can and will kill you if not taken seriously. I have seen a lot of bikes demolished with less then 1000 miles.
I might be wrong with my gut feeling about you but can you please tell us you mototcycle experence, training, miles on previous bikes, what bikes, track time, any thing that will help us help you.
You sound very new to motorcycling and may have been sold a motorcycle way over your riding capabilities. This is a machine for advanced riders. Sorry if am I wrong on this mater but better safe than sorry.
We also will be needing a address so we can come to get the bike with the dangeling VENT TUBE