As I understood it from the OP, she is already in receipt of DLA and ESA. The latter is awarded to those who the DWP have decided are incapable of work through physical or mental illness or a disability that require support to find work and successfully remain employed . This mostly necessitates a medical examination that determines what a person CAN do, not what they cannot. As I understand it, it is quite difficult to be awarded ESA unless there is a genuine need for it ( and often refused unfairly )
DLA is awarded to support a long term condition and or disability either physical or mental. Both are awarded at different levels according to severity.
That the OP has already been awarded both of these indicates that she has already been assessed and found to have conditions that make her incapable or have a limited capacity for work . She was asking if her pump affected the levels she already receives . Usually, but not always, diabetes of any type, whether you use insulin in any form is not a qualifier for either ESA or DLA as an adult, so her receipt of these benefits suggests another condition or conditions.
I gently suggest it is a tad harsh and judgemental to assume that the OP is apparently avoiding work on the basis of diabetes alone .
Signy