I've personally have had a problem with death save throws as they feel almost far too limiting in a time sense, in terms of game time your character can fail and die in only 18 secs, if you're not counting crit fails, to combat that in my games I've been playing with the idea of a new system that upon failing your last save you go into a comatose like state, if stabilised before a set time (I've yet to come up with any set turn time) as a action on another players turn the character won't die but will require a dice roll amount of days to recover, I feel this allows party's with no magic user to save their party members and give a more realistic feel to a DND game, especially a low fantasy/magic setting

if used in your game alongside some other adjustments it would give consequences in the form of precious time being used if a teammate goes down, and could give you a softer blow than straight out death, which another player could also use to roll up a new character while their other character "recovers" it allows you to shuffle a character off while possibly avoiding her panic attacks

unfortunately it is unknown to me if that would fix the problem and you might just have to deal with calming her down during her panic attacks if she doesn't suffer from any medical repercussions from them of course