I’m not a Catholic. So please read my response in that light. Actually, I’m a non-believer, so you may want to turn off the light entirely!
If I were in your situation I would say I was willing to be redeployed but only after others without responsibility for children had been deployed, i.e. as a last option.
The likelihood of getting COVID-19 seems moderate and (for example) massively less than the chance of catching measles. There is also a lot you can do to protect yourself and if your organisation has good access to information and protective gear and operates according to WHO guidelines you can reduce the risk.
If you get the virus and remain, as I assume you must, in contact with your child, your chances of each having a mild case are excellent and of recovery if you have no underlying relevant conditions are also very good. If you have a bad case you will suffer and might die.
You will also, like all of us, probably catch the virus eventually. We are all hoping that reinfection will not happen just as it tends not to with many other similar viruses. There could actually be an advantage to getting it early if there are at present few cases in your area since medical support would be available.
Weighing all this up is difficult. I hope you have a union or a professional group you can talk to about this. Otherwise, all I can suggest is that you make a list of pros and cons, think, and decide. And assuming you are a Catholic and doing the right thing by your beliefs is important to you, after you have proved and coned it would make sense to talk to a priest or chaplain about the strictly moral side.
Hope that helps. People like you are the ones that give the rest of us hope in the knowledge that there are people with the ability to help, who will if they can.