Is this TN symptoms?

Three weeks ago, I started having pain in the right side of my face. I attributed it to maybe a cavity, but the problem was the tooth itself didn’t hurt. I’ve had several toothache aches in the past, and generally, the tooth itself is sensitive as is the gum/ surrounding area. I made an appointment with a regular Dr. who wrote it off as a sinus infection and gave me antibiotics. The antibiotics didn’t work. (I figured they wouldn’t - I expressed the pain level as a 9 and she gaslit me). I asked for imaging and they told me I need to be on another antibiotic first. I’ve had plenty of sinus infections. This isn’t that. The pain is insurmountable. I can’t quite pin point its location. But it’s closer to my ear and shoots down my jaw, basically affecting my right cheek entirely. (And it’s swollen- not super noticeable but it is) This pain is like a toothache from he!! The throbbing pain is horrible. Quite like someone stabbing me in that spot over and over. I’d say 9/10. And it either happens in the evening or in the middle of the night. Sometimes lasts an hour sometimes way more. My issue is that I keep reading posts for TN that say they get triggered by touching the skin etc. mine does not hurt to touch, in fact it feels super deep into my cheek? I also have pressure in my ear. Could this still be TN? I have an ENT appointment in March (that was their other suggestion since I declined the AB). But I don’t know if I can handle this pain til then. Let me know your experiences! TIA.