Is it safe to get my tooth extracted with local anesthetic without epinephrine?

Yes: Sure, Epinephrine in local anesthetic helps it last longer and makes it bleed less. For most dental work it can be avoided if you are sensitive to it.

Yes: Yes, the Epinephrine in the anesthetic only makes the anesthesia last longer.

Caveat: One condraindication to not using Epinephrine would be if there were heart conditions. The Epinephrine would be somewhat protective by keeping the anesthetic from going systemic and potentialy affecting the heart.

Safe? Yes: Local anesthesia can be administered with or without epinephrine. Epinephrine (adrenalin) is helpful to keep the anesthetic in the area longer (stays numb longer) and to reduce bleeding in the area. Certain circumstances contradict the use of epinephrine, such as heart conditions. The danger to the heart is the epinephrine, not the local anesthetic if used in recommended amounts.

Local anesthetics: All local anesthetics have vasodialating properties which in turn increase perfusion in the area injected. This will result in an increased rate of absorbtion of the drug into the cardiovascular system. Epinephrine use prevents this effect and is therefore recommended when treating patients with cardiovascular disease.

It is safe: But maybe not as effective. The dose of local anesthetic has to be reduced to avoid toxicity, the local won't last as long, and there may be more bleeding.