@frlobo That battery connector would be pretty hard to get off using a hot air rework tool based on my experience with using the tool.
That connector is soldered down in 4 locations, the two pins coming out the back and on each side of the connector. The two pins on the back would be easy along with one of the side connectors, but the other end of the connector is approx 1 mm away from the USB jack which is probably not something you want to unsolder.
I use the Dremel tool with metal cutting disk a lot, and this looks like the perfect tool for this job of cutting down the connector vs. removing it.
This tool would allow you to cut the plastic & the two metal pins down quickly and easily. I typically cut 3/16" steel rod with ease using this tool so the plastic and metal pins will be quick and easy. You will probably still be able to insert the battery connector after you cut it down also.