> A subcutaneous injection once a week is nothing

I do at least one a day, sometimes up to four if things happen to line up exactly right.

Even four subq injections amounting to around 2ml of stuff is nothing, doing all four of them after a shower takes about as long as brushing my teeth.

If you use correct technique and good quality needles, you will feel essentially nothing. If your needles are not sharp enough, there might be very slight discomfort when initially piercing the skin.