Re: I can't get the food out between 2 teeth
see a dentist, yes. Meanwhile, putting butter around the teeth to get them as slippery as possible, is what helps me is. I put cold pats of butter from the refrigerator at the affected gum line & wait til they melt. Then teflon (Glide) floss can get offending particles out, if the butter has had enough time to get well between the teeth and under the gums. Use real butter, not a substitute.
But your condition is worse than anything that's happened to me. So even if butter might help dislodge the particle, your mouth needs dental care.
Sharp objects like a toothpick can damage the gums. You may also have an infection that has started and must be stopped ASAP.