phrase requests - Is there a word for "a person from another race"?

I am searching for a word that means ‘of another race’ to be used in context of a sentence such as

"She was deeply protective to her [of other race] foster children."

"They shunned the [other race] people."

The definition of race that I am referring to can be best defined as follows(from Google definitions):

each of the major divisions of humankind, having distinct physical characteristics. "people of all races, colours, and creeds" synonyms: ethnic group, racial type, (ethnic) origin "the school has pupils of many different races"

Here the 'other race' may mean just one race, or several. Through my research I was unable to locate such a word, except directly using the racial identity e.g. white, Native American etc., which is not what I want to achieve.

To add further clarification, the 'other race' in this context does not necessarily refer to an ethnic minority. Actually first example was based on a contradictory situation in the tv series Strange Empire, where a Metis woman is foster mother to two orphaned white girls.

To answer several questions raised in the Meta discussion:

While 'people of another race' can be very well referred to by their race or nation, I want to emphasize on the distinction of race, not the particular race.

For example,

"The rich, white mining owner ruthlessly overworked the (people of other race) labourers."

vs

"The rich, white mining owner ruthlessly overworked the Black, Mexican and Chinese labourers."

The standard words such as foreign, outsider, alien, etc. are not acceptable because a person from another race is not necessarily any of these. A Native American in the US is not a foreigner, outsider or alien.

Answer

There is a word miscegenate, from the Greek for "mixed race" (misce-, -genus) which would provide a clue.

The Greek for other is allos, which provides prefixes allo- (as in allophone) and the Latin al- (as in alibi).

So a word one could coin is allogenate or possibly allogenous or allogeneous.

In fact, allogenous is mapped on to allogeneous in OED:

rare before 19th cent.
Different or distinct in kind; (in later use freq.) spec. belonging to or consisting of a distinct ethnic group.

Allogeneous would appear to be exactly the word:

1666 G. Thomson Λοιμοτομια i. 18 We are thus beset on every side with such an allogeneous, pernicious matter, that doth frequently infest us.
2007 Callaloo 30 653 Making the presence of allogeneous groups (especially African ethnicities) on Italian soil suddenly visible.

Its use would suppose that the readership is sufficiently well-versed to extract its meaning, and something like racially-different or ethnically distinct is certainly more accessible.