Your tort probably won't have any issues with the spines but they can end up in the substrate and give YOU a nasty surprise.
I recommend wearing a thick leather glove and using a pair of cooking tongs to hold the pad and then use a large knife to scrape the worst of them off. Then rinse hard with water.
It looks like one that I grow and believe it's a spineless type of humifusa. During the growth season if kept watered, the few tiny spines they do have are almost non existent and shouldn't bother your tortoise. During dry spells and when dormant over winter the spines are more prevalent and pads are tougher but still can be fed.A friend of mine has this growing i their yard. Wondering what type of cacti it is and if it’s tortoise safe? View attachment 236140