First let me say I did not come up with this solution, but Maribel Gonzalez did via Youtube 7 years ago. Reviewing the proposed solutions to the stuck SIM I am compelled to share this because I found it simple and brilliant.
Maribel used an index card and credit card - that combination did not work for me.
Cut a strip of index card and credit card the width of the slim slot - both strips should have some length. (a strip from Equate brand of Nicoderm Packet worked perfectly).
Hold the index strip and cc strip together as one strip - insert into sim slot - push a little xtra into the slot - then very slowly pull the paper out and the sim card should come out far enough for you to get hold of it. I had to do this several times to perfect it - but it works! Good Luck!