Her explanation simply couldn't be made consistent.
Tips
usage
自圆其说 often carries a slightly negative connotation — the person is straining to make their account fit, patching holes in their story. It doesn't necessarily imply lying, but does suggest the original claim was flawed.
memory
圆 (yuán) means round/complete — imagine rounding off all the rough edges of a story until it makes a perfect circle with no gaps.