More details are needed to find the reason for your low tone hearing loss
on left side. Pure tone audiogram details like it shows conductive or sensorineural hearing loss and Tympanometry
Your left maxillary sinus infection
can cause deafness
by affecting eustachian tube due to infection. This prevents passage of air through eustachian tube to middle ear. Thereby causing negative pressure in the middle ear leading to fluid collection there. Fluid in the middle ear prevents free movement of ear drum causing deafness.
Injury to the nose might have predisposed to sinus infection but is not a direct cause (may be indirectly through eustachian tube) for your hearing loss. If it is due to impact on left ear, you would have developed deafness since then.
You are likely to get back your hearing if deafness is due to conductive reason.
An ENT specialist
who can examine you and see those investigation results will be able to explain you better.
Wish you good health.