Pulling pain in left hand is s just vague explanation of symptoms . You have not localise the pain , what intensity , what type of pain: it it burning or muscular , or is just tingling sensation . You adding the pain with your current disease T2DM , any specific cause just you think about it .
Okk let’s talk about your left hand pain , as
sugar is control , sugar not directly causing pain even muscular pain , neurological, vascular and other of pain can associated with
diabetes . If the pain is localised to hand only it may be carpal tunnel syndrome only , other possibilities may present
go for NCV test , ESR . Take analgesic for 5 days with PPI