What wire you are taking about is retainers. Sometimes food particles sticks around and improper brushing aggravates it. You do not need to remove retainers without asking to your orthodontist
. Sometimes it has to stay for life-long. You need to visit a dentist
for scaling and polishing every 3- 6 months and use of regular mouth wash (Preferable non alcohol
based mouth washes). That will solve your problem.