Many insurance plans will pay for an insulin pump for a type two on insulin. Check with your insurance company and fine a good medical equipment supply to assist.
Why does everyone get so mad at the insurance COMPANY for not having morals? It is a company. They are there to make a buck. If they didn’t they would be out of business and everyone would be screwed. If you want to win with the insurance company argue the financial side of things. Realistically it will cost an insurance company thousands up front to fit you with a pump. Syringes are cheaper. When you break the pump they’ll spend thousands more. Syringes are cheaper. So argue back. Complications from poorly controlled blood sugars can run into the hundreds of thousands of dollars. Explain that to them. Back it up with your (hope you’ve been keeping good track) well logged meter readings, medical history, doses, carbs, exercise regime, etc. Once you can support to the insurance company that it will be cheaper for them to give you a pump you’ll get it. I had the pre-existing condition policy on my insurance waived from this argument. Simply told them if we wait nine months my sugars will be out of control again and you’ll be spending tens of thousands in hospital visits as opposed to a few thousand (if that) in supplies and Dr. visits. Make their financial needs work for you. They are a company. All companies are about money.
No, even if you have some of your own insulin left, if you don't have enough to meet your needs, you need to use exogenous insulin. And the pump is just another way of delivering it.
Type 2's are generally less prone to hypos, because they still have functioning alpha cells to secrete glucagon. That doesn't mean they can't go low (anyone can go low in the presence of too much insulin!), but it's not as much a problem as for Type 1's who have lost alpha cell production.
This is exactly why I DON"T want a pump. I was just diagnosed a few weeks ago but the VA already wants to stick me on a pump. I hate the thought of a machine hooked to me 24/7 that costs more than my first car! I am EXTREMELY active outdoors and don’t want to deal with it. Plus, I can’t freak out old ladies in the Golden Corral by offering them what I’m sure they think is heroin 
I am type 2 and was approved by insurance in 2009 for a pump after only a year on MDI. I was having severe lows and couldn’t control my bs. I have been on the pump for a year now and my A1c is a 7.0. I see an Endo. I believe the key to this is making sure the doctor provides all the medical necessity forms and you don’t try to get approved on your own or you’ll never get one.
Just a foot note to what I said above. Low C-Peptide wasn’t one of the qualifications on the medical necessity form. I looked at the form and it doesn’t differentiate between Type 1 and Type 2 but only the reasons for your doctor to prescribe one. I am sure that the insurance company would want some other documentation but in case my Endo’s office supplied my readings from my meter and A1c numbers to back up the form.
There’s a lot of negativity towards type 2’s and people need to realize that at the end the consequences are equally the same whether you are a type 1 or 2. The loss of functions in the body are the same. Maybe not at the same speed, they are the same. Why do people think that type 2’s caused their diabetes? In our case we have type 1’s and 2’s in both ends of the family spectrum so genes follow. My child was 6 when diagnosed and she was small not over weight at all. So there the question now if she’s been misdiagnosed all these years. People need not to be so judgmental.
People are negative because there is a link (note it's not a proven cause, simply a link) between obesity and T2 (roughly 60% of T2 are obese/overweight). So they view T2s (actually all) diabetics as having caused their disease. Can being overweight cause insulin resistance? Yes. Does that mean it is always the cause? NO! Look at it like smoking. Does smoking (being overweight) increase your chances of lung cancer (diabetes)? Yes. If you don't smoke (be overweight) are you safe from lung cancer (diabetes)? No. I'm T1, 5'11" and weigh a shade less than 150. I run and do weights on alternating days and am in great shape. I get told nearly daily I caused my diabetes. When I point out I'm not overweight then it becomes: too much sugar, too much soda, too much beer, too much alcohol, too much partying, not enough veggies, too much meat, need to become vegetarian, etc. No one in my family has diabetes of any type. It's also worth pointing out that some (not all, and I've heard no statistics simply anecdotal evidence) T2s can control through diet. But not all, as many will slip down and down even with proper diet and exercise and eventually need insulin (BTW, diet and exercise was the prescribed treatment prior to the 20s when insulin therapy came about and life expectancy was four years after diagnosis if you were lucky).
Anyway, I'm not trying to attack or be negative toward you, your daughter or any others. Just pointing out what I've seen, heard and read. I for one think that most of the negativity comes from a lack of education from PWOD and from stereotypes the general public holds towards diabetics.