Given the card is a small 'phat' style card and you cannot solder, this will limit your options.
The simplest way would be to buy another Pi (every house needs more than one as they get lonely) and just use one for playing music and one for other things.
The other option that can possibly solve the issue (depending on what else you need to plug in) is the pHAT stack expansion from Pimoroni. The two issues are power and possible pin use clash but there are many working options on the page that can give hours of fun :)
One way of telling if you have a clash is to use the
Pinout.xyz site and see what card use what pins - it's not been updated for a long while but covers a fair number of cards.
Like you, soldering is not my greatest skill so I jumped on eBay on bought a through hole solder kit with lots of components to practise on for a couple of pounds. I managed at the start with jumpers and basic breadboards but now you can lots of sensors and screens in a breakout format that is simple to plug together.