If you provide more information, it will be possible to provide better answers to your questions.
The last time I checked, monthly income over $70.000 pesos (perhaps slightly more) was subject to taxation. There was a proposal to increase the exemption to $150.000 but I don't know if it was enacted.
Whether or not your income is taxable depends on the source of income. When I make transfers to myseld from my US bank,there is only one option for the sourece of income: family support. My accountant informed me that AFIP did not consider money sent by a family member for this purpose as taxable, but it might, if in reality, you are sending money to yourself that you earned from investments, rents, working remotely, and (perhaps) a pension.
If you've have temporary residency for more than a year and are using a DNI as your form of identification for the WU transfers, there is a record of your transactions, but I don't know how closely AFIP is tracking them (if at all).
If I understand corretly, you become liable to pay income tax in Argentina after you have had temporary residency for a full year.
One member using a passport as their ID recently posted that WU asked said a CDI would be required to receive funds from future transfers, but as far as I know, that has only happened once.
There have been a lot of posts about tax liability recently. I suggest you use the search engine to find more information.