@Od3 Wait for confirmation from TPlink directly or others that know for sure but...

If I am reading the specs correctly for each device,  the EAP110 is Passive POE only and therefore cannot be powered by the TL-SG2210P Active POE.  You would need to power the EAP110 with the provided POE injector and then connect from the Data Port of the EAP110 to the TL-SG2210P. 

If you are needing to power the AP with the TL-SG2210P, the EAP225-Outdoor would be the next obvious choice. The EAP225 is 802.3af PoE and 24 Passive PoE and would work with the TL-SG2210P directly.  If you are able to, return any of the EAP110s that are being installed in a location that require power from the TL-SG2210P and replace them with EAP225s.

Also I think the EAP110 Port is 10/100 while the EAP225 is Gigabit. May or may not be an important spec to you but when I built my RV Parks Wi-Fi, the POE and Data Spec were the reaons I chose the EAP225 over the EAP110.