Our own app
Textcuts
A custom keyboard that fills in a name and other details with one tap, plus Hebrew gender forms picked automatically for the contact. No Full Access permission, no network access from the keyboard, synced through your own private iCloud account. Free to try, in English and Hebrew.
Closest to Textcuts's mechanic
Fast Reply: Saved Replies
By Aryaman Sharda, free with paid plans from $2.99 a month, 4.8 stars from 34 ratings, Utilities. Its screenshots walk through filling the blanks in a saved reply, the closest analog to Textcuts's own pitch we found, and it states the keyboard functions without Full Access.
Largest smaller app by rating count
WordBoard: Text Expander
By Bytesize Systems Pty Ltd, free with paid plans from $7.99 a month up to a $99.99 lifetime option, 4.9 stars from about 5,600 ratings, Utilities. It states it does not use network access to collect data, close to a no Full Access claim without stating it outright.
Simplest, free option
Canned Replies Keyboard
By Apoleaf LLC, subtitled one tap canned responses, free, 4.3 stars from 111 ratings, Utilities. A straightforward canned response keyboard without a stated fill in the blank mechanism or Hebrew gender form support on its current listing.
Highest rating count
Auto Paste Keyboard
By Pro App Company Limited, free with in app purchases, 4.7 stars from about 90,500 ratings, the largest review count here. It lists Hebrew among 54 languages, describes pasting a full stored message rather than filling in a template, and its App Privacy summary states it collects identifiers used for tracking and advertising.
Established brand, new listing
TextExpander
A long recognized text expansion brand across Mac, Windows and browser tools. Its older iOS keyboard app listings now return a page not found error, and its new iOS listing, free, Productivity, has only a 5.0 rating from 2 ratings so far, too thin to detail its feature set yet.
Built into Google's keyboard
Gboard's text replacement
Gboard, Google's own free keyboard, includes a text replacement setting where a short typed abbreviation expands into a longer phrase, the same mechanism as Apple's Text Replacement below, rather than a tappable chip. Gboard supports many languages, Hebrew included, and is referenced here as the incumbent general keyboard, not a dedicated quick reply tool.
Already on every iPhone
iOS's built in Text Replacement
Found in Settings, General, Keyboard, Text Replacement. Type a short shortcut, like otw, and it expands into a phrase you set in advance, in any app, at no cost, with nothing to install. Entries can sync across your own devices through iCloud when that is turned on. It does not fill in a variable and has no concept of Hebrew gender forms, since each entry expands to one fixed piece of text.