"The surgeon is saving herself."
What are the guidelines for the order of suffixes?
Suffixes have a number, and they come in the order of their numbers.
-'egh is a type-1 suffix and -taH is a type-7 suffix, so -'egh comes first.
-lI' is also type 7.
There are nine types of verb suffixes, so there can be further suffixes after -taH or -lI', especially the syntactic (type-9) suffixes such as -chugh "if" or -mo' "because".
Also, the rover -be' can occur after pretty much any suffix.
Similarly, Qorwagh vIpoSmoH is "I open the window", but "I need to open the window" is not Qorwagh vIpoSmoHnIS but Qorwagh vIpoSnISmoH -- the -nIS (a type-2 suffix) has to come before -moH (a type-4 suffix).