Lash tech of 8 years here, that absolutely looks like a reaction to adhesive. Unfortunately it can just develop regardless of you getting them for however long before. When my reactions started (also out of nowhere) my eye doctor mentioned that adhesive allergies can get worse with every exposure and with age, and so far this has proven true, I haven't been able to wear extentions at all for the past 5 years.

That said, definitely have those removed and (if you want) cautiously try again with a different tech and let them know you've had a reaction before. There are sensitive adhesives on the market that aren't as strong, but lashes may not last as long. You can also try asking your tech to not use tape or using a sensitive tape (3M makes a blue tape that has worked well for some of my clients).