One "problem" would be, that it slightly raises success chance from all rolls across the boards. Average of 1d20 is 10,5. Average of 2d10 is 11. That 0,5 will pull a lot of weight long term.
That said modern 5e is fundamentally a powerfantasy ruleset. Making the PCs better at everything by letting them roll 2d10, while the DM rolls 1d20 for NPCs would not be catastrophal.
However it also significantly reduces the amount of critical hits that appear, and players love those.
So you do not only curb the distribution to more standard rolls, you also get some secondary effects you should be aware off.
But still getting butthurt at your players refusing to change the core dice is retardo, because that is what DnD is. DnD is gambling, most D20 based systems are. If the players come to the table with the expectation to play DnD, with all that entails, they also expect the very high volatility of the D20.
I would change the ruleset before I change the D20. It is not like there is a lack of viable rulesets nowadays.